Pith Number

pith:P33FHGNS

pith:2007:P33FHGNSQR6FP2OBH4UB5HJ47C

not attested not anchored not stored refs pending

Osculating Paths and Oscillating Tableaux

Roger E. Behrend

arxiv:math/0701755 v2 · 2007-01-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P33FHGNSQR6FP2OBH4UB5HJ47C}

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	2026-05-18T04:07:29.519457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef65399b2847c57e9c13f281e9d3cf88e2cfc1189fa9d5ee8978d2c846b389c

Aliases

arxiv: math/0701755 · arxiv_version: math/0701755v2 · doi: 10.48550/arxiv.math/0701755 · pith_short_12: P33FHGNSQR6F · pith_short_16: P33FHGNSQR6FP2OB · pith_short_8: P33FHGNS

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/P33FHGNSQR6FP2OBH4UB5HJ47C \
  | 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: 7ef65399b2847c57e9c13f281e9d3cf88e2cfc1189fa9d5ee8978d2c846b389c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77232a56c6290bbcaf243fa1d9381ff92f7d1d37ec84309ebdb6bcd0ee45b411",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-01-25T20:56:10Z",
    "title_canon_sha256": "96abda1ed1d703eaf33b44216efd4b906bb40276690417b6513e4f24975f9bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701755",
    "kind": "arxiv",
    "version": 2
  }
}