Pith Number

pith:NAAZN7Q4

pith:2025:NAAZN7Q42LADXSG3FIGB5ZZOS6

not attested not anchored not stored refs pending

Welschinger--Witt invariants

Erwan Brugall\'e, Johannes Rau, Kirsten Wickelgren

arxiv:2509.04172 v1 · 2025-09-04 · math.AG · math.KT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAAZN7Q42LADXSG3FIGB5ZZOS6}

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.

Receipt and verification

First computed	2026-07-05T12:04:54.677426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680196fe1cd2c03bc8db2a0c1ee72e97a15f513024f4ea2bdcbd52b1c5e47c9f

Aliases

arxiv: 2509.04172 · arxiv_version: 2509.04172v1 · doi: 10.48550/arxiv.2509.04172 · pith_short_12: NAAZN7Q42LAD · pith_short_16: NAAZN7Q42LADXSG3 · pith_short_8: NAAZN7Q4

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/NAAZN7Q42LADXSG3FIGB5ZZOS6 \
  | 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: 680196fe1cd2c03bc8db2a0c1ee72e97a15f513024f4ea2bdcbd52b1c5e47c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11fd41fa685ae25e2d556a079ed9da5738a9448514bebf6230ce3700b8e1a25",
    "cross_cats_sorted": [
      "math.KT",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-04T12:45:44Z",
    "title_canon_sha256": "b4ef6cfe1d8546322088492c1c01702090ac06951c6a737fea0fe017a73cf9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04172",
    "kind": "arxiv",
    "version": 1
  }
}