Pith Number

pith:DH43JOSU

pith:2023:DH43JOSUH6DDIVCBTGL27DGHQY

not attested not anchored not stored refs pending

Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $\mathrm{GL}_g(\mathbb{Z})$ and $\mathrm{SL}_g(\mathbb{Z})$

Francis Brown

arxiv:2309.12753 v3 · 2023-09-22 · math.AG · math.AT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DH43JOSUH6DDIVCBTGL27DGHQY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Non-linear geometry of multiple zeta values

Receipt and verification

First computed	2026-07-05T10:21:16.311736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f9b4ba543f863454419997af8cc78620ee480bb974cd7ca5e6a2509f0cbb87

Aliases

arxiv: 2309.12753 · arxiv_version: 2309.12753v3 · doi: 10.48550/arxiv.2309.12753 · pith_short_12: DH43JOSUH6DD · pith_short_16: DH43JOSUH6DDIVCB · pith_short_8: DH43JOSU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DH43JOSUH6DDIVCBTGL27DGHQY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 19f9b4ba543f863454419997af8cc78620ee480bb974cd7ca5e6a2509f0cbb87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a7fa7838516df346f59fe3d9503e056c803e56eb6fb71dee15ec2025854e17",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-09-22T09:53:49Z",
    "title_canon_sha256": "f81de24472c9457b8e988a7d6a92a8e959ee8b80586965dc3dc9a6a72996574a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.12753",
    "kind": "arxiv",
    "version": 3
  }
}