Pith Number

pith:676HVPGN

pith:2014:676HVPGNK2ZVDTSPTFCJNEICK6

not attested not anchored not stored refs pending

Decision problems for 3-manifolds and their fundamental groups

Henry Wilton, Matthias Aschenbrenner, Stefan Friedl

arxiv:1405.6274 v2 · 2014-05-24 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{676HVPGNK2ZVDTSPTFCJNEICK6}

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	2026-05-18T02:26:58.911424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7fc7abccd56b351ce4f9944969102579643f865fa5fffd400f93410e9db2d14

Aliases

arxiv: 1405.6274 · arxiv_version: 1405.6274v2 · doi: 10.48550/arxiv.1405.6274 · pith_short_12: 676HVPGNK2ZV · pith_short_16: 676HVPGNK2ZVDTSP · pith_short_8: 676HVPGN

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/676HVPGNK2ZVDTSPTFCJNEICK6 \
  | 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: f7fc7abccd56b351ce4f9944969102579643f865fa5fffd400f93410e9db2d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0091058cab8bda3098286324950f90dfe669e11d23e6219996975e4a064183d3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-24T07:26:08Z",
    "title_canon_sha256": "c3e4fe82f42dd45d77672de8f6d8ff27fcc1f0e582d5d607473875f09b19115c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6274",
    "kind": "arxiv",
    "version": 2
  }
}