Pith Number

pith:NIN7ANNC

pith:2016:NIN7ANNCKGKEQX7XNGTSE4URWC

not attested not anchored not stored refs pending

Group representations in the homology of 3-manifolds

Alex Bartel, Aurel Page

arxiv:1605.04866 v5 · 2016-05-16 · math.GT · math.AT · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NIN7ANNCKGKEQX7XNGTSE4URWC}

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	2026-05-17T23:45:57.030919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a1bf035a25194485ff769a7227291b0ac440d3a19758f3f5fa72d7e3b563fb5

Aliases

arxiv: 1605.04866 · arxiv_version: 1605.04866v5 · doi: 10.48550/arxiv.1605.04866 · pith_short_12: NIN7ANNCKGKE · pith_short_16: NIN7ANNCKGKEQX7X · pith_short_8: NIN7ANNC

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/NIN7ANNCKGKEQX7XNGTSE4URWC \
  | 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: 6a1bf035a25194485ff769a7227291b0ac440d3a19758f3f5fa72d7e3b563fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f240772e3e8ef29fdc48d26120be06777f0e6c2ecc5986dcaffb21ea2646e781",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-16T18:47:06Z",
    "title_canon_sha256": "9b3a9d189901493d2625a921f27f0b308f7d2e3be815a924c754db122c55f785"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04866",
    "kind": "arxiv",
    "version": 5
  }
}