Pith Number

pith:C3UTK4ET

pith:2015:C3UTK4ETWUZOFIYK4IHET4I2BA

not attested not anchored not stored refs pending

A Note on Graphs with 2 Bends

Martin Pergel

arxiv:1510.00684 v1 · 2015-09-30 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3UTK4ETWUZOFIYK4IHET4I2BA}

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	2026-05-18T01:31:12.284736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e9357093b532e2a30ae20e49f11a081c65af91cff1bd4ad3f505a5368be37d

Aliases

arxiv: 1510.00684 · arxiv_version: 1510.00684v1 · doi: 10.48550/arxiv.1510.00684 · pith_short_12: C3UTK4ETWUZO · pith_short_16: C3UTK4ETWUZOFIYK · pith_short_8: C3UTK4ET

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/C3UTK4ETWUZOFIYK4IHET4I2BA \
  | 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: 16e9357093b532e2a30ae20e49f11a081c65af91cff1bd4ad3f505a5368be37d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d38ed0429aa08dcef2aee2b3fd3aa1e1e42d1c97679c8f9b5555599a7fedc6ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-09-30T17:55:32Z",
    "title_canon_sha256": "5aeacf7de0c01672b432e69afd6459e0fa49f6e2f38e41d60a2adf9cc5a81ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00684",
    "kind": "arxiv",
    "version": 1
  }
}