Pith Number

pith:DLBACUYW

pith:2011:DLBACUYWYHTNRJPIGJ5JFNQBMR

not attested not anchored not stored refs pending

Simplification paths in the Pachner graphs of closed orientable 3-manifold triangulations

Benjamin A. Burton

arxiv:1110.6080 v1 · 2011-10-27 · math.GT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLBACUYWYHTNRJPIGJ5JFNQBMR}

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	2026-05-18T04:10:09.722586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ac2015316c1e6d8a5e8327a92b601645f05148b61c4696de51cb70ff2ce5f15

Aliases

arxiv: 1110.6080 · arxiv_version: 1110.6080v1 · doi: 10.48550/arxiv.1110.6080 · pith_short_12: DLBACUYWYHTN · pith_short_16: DLBACUYWYHTNRJPI · pith_short_8: DLBACUYW

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/DLBACUYWYHTNRJPIGJ5JFNQBMR \
  | 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: 1ac2015316c1e6d8a5e8327a92b601645f05148b61c4696de51cb70ff2ce5f15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ac32fa8f1e82652e7dc5f6c731f058e773d277e9a08f88c01f836767582546",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-27T13:44:33Z",
    "title_canon_sha256": "082eeaa29a268e016306a1c86bbd9717993ccd5e9044e723b4bcf05ec1fe5175"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6080",
    "kind": "arxiv",
    "version": 1
  }
}