Pith Number

pith:VSFF4GZT

pith:2017:VSFF4GZTA7KOU57HN37UT4Q4PU

not attested not anchored not stored refs pending

Homological stability of topological moduli spaces

Manuel Krannich

arxiv:1710.08484 v2 · 2017-10-23 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSFF4GZTA7KOU57HN37UT4Q4PU}

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	2026-07-05T00:14:11.742653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8a5e1b3307d4ea77e76eff49f21c7d28978a7e0f238c7d51d1503aba4a6f0b

Aliases

arxiv: 1710.08484 · arxiv_version: 1710.08484v2 · doi: 10.48550/arxiv.1710.08484 · pith_short_12: VSFF4GZTA7KO · pith_short_16: VSFF4GZTA7KOU57H · pith_short_8: VSFF4GZT

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/VSFF4GZTA7KOU57HN37UT4Q4PU \
  | 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: ac8a5e1b3307d4ea77e76eff49f21c7d28978a7e0f238c7d51d1503aba4a6f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f3aac858047eff630edf23d9afd69036971765533c6d484d070f259b6cffcb0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-10-23T20:02:10Z",
    "title_canon_sha256": "6748d04bc959aefd74dbd87917248597c5623fa654f13319c30b42f55147b641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08484",
    "kind": "arxiv",
    "version": 2
  }
}