Pith Number

pith:2VFFIXTL

pith:2014:2VFFIXTLI6RMXYWDKELLODIIOL

not attested not anchored not stored refs pending

3-manifolds that can be made acyclic

Matthias Nagel, Stefan Friedl

arxiv:1412.4280 v1 · 2014-12-13 · 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{2VFFIXTLI6RMXYWDKELLODIIOL}

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	2026-05-18T00:01:32.443692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54a545e6b47a2cbe2c35116b70d0872ecf0e8f13751e7155a332df161261f73

Aliases

arxiv: 1412.4280 · arxiv_version: 1412.4280v1 · doi: 10.48550/arxiv.1412.4280 · pith_short_12: 2VFFIXTLI6RM · pith_short_16: 2VFFIXTLI6RMXYWD · pith_short_8: 2VFFIXTL

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/2VFFIXTLI6RMXYWDKELLODIIOL \
  | 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: d54a545e6b47a2cbe2c35116b70d0872ecf0e8f13751e7155a332df161261f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f64628a37db43b388530e3f7db54a6c498ea22d03ede8b8307396a7bd5b22d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-13T21:18:54Z",
    "title_canon_sha256": "e9ddc0fdde681ff4542ab308055eb82dc364f3b262b8ac4d5caade1f00287891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4280",
    "kind": "arxiv",
    "version": 1
  }
}