Pith Number

pith:GVXGA7IF

pith:2016:GVXGA7IF2EHVJFFBMPPQ4DRGBF

not attested not anchored not stored refs pending

Orderability and Dehn filling

Marc Culler, Nathan M. Dunfield

arxiv:1602.03793 v5 · 2016-02-11 · 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{GVXGA7IF2EHVJFFBMPPQ4DRGBF}

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	2026-05-18T00:20:07.633880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356e607d05d10f5494a163df0e0e260942b4278225e50fbe50b7971b7ec433e6

Aliases

arxiv: 1602.03793 · arxiv_version: 1602.03793v5 · doi: 10.48550/arxiv.1602.03793 · pith_short_12: GVXGA7IF2EHV · pith_short_16: GVXGA7IF2EHVJFFB · pith_short_8: GVXGA7IF

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/GVXGA7IF2EHVJFFBMPPQ4DRGBF \
  | 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: 356e607d05d10f5494a163df0e0e260942b4278225e50fbe50b7971b7ec433e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1443de57509554a0063b99290a00ba645275e57071d05aeb59edbaf13ed853ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-11T17:10:44Z",
    "title_canon_sha256": "8b6563f0d870de259966050babe2aec8d18ff65a273ace5d429bd34d5f9b0740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03793",
    "kind": "arxiv",
    "version": 5
  }
}