Pith Number

pith:2UH6H7TZ

pith:2015:2UH6H7TZ4VWANDVDP4MDIT5FMH

not attested not anchored not stored refs pending

Dehn's Algorithm for Simple Diagrams

Charles Frohman, Joanna Kania-Bartoszynska

arxiv:1502.03503 v1 · 2015-02-12 · 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{2UH6H7TZ4VWANDVDP4MDIT5FMH}

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	2026-05-18T02:27:17.722520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50fe3fe79e56c068ea37f18344fa561f8661572892376229a21cf37d045313f

Aliases

arxiv: 1502.03503 · arxiv_version: 1502.03503v1 · doi: 10.48550/arxiv.1502.03503 · pith_short_12: 2UH6H7TZ4VWA · pith_short_16: 2UH6H7TZ4VWANDVD · pith_short_8: 2UH6H7TZ

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/2UH6H7TZ4VWANDVDP4MDIT5FMH \
  | 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: d50fe3fe79e56c068ea37f18344fa561f8661572892376229a21cf37d045313f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92072228442089ba6259426fd52adf5ad56dc4dc3505b2ae1eb8198a76ce4e6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-12T01:24:29Z",
    "title_canon_sha256": "ce8ff74af4fed449ef4737c6864882b14def646bbe8fd7c2444aaf8fcab4659e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03503",
    "kind": "arxiv",
    "version": 1
  }
}