Pith Number

pith:BX2SCPH5

pith:2010:BX2SCPH5R6C3NZTA35JOYW6DLL

not attested not anchored not stored refs pending

Expected length of a product of random reflections

Jonas Sjostrand

arxiv:1011.5358 v1 · 2010-11-24 · 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{BX2SCPH5R6C3NZTA35JOYW6DLL}

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	2026-05-18T04:34:47.463428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df5213cfd8f85b6e660df52ec5bc35adcfe07283c36a06c963830b99dca2794

Aliases

arxiv: 1011.5358 · arxiv_version: 1011.5358v1 · doi: 10.48550/arxiv.1011.5358 · pith_short_12: BX2SCPH5R6C3 · pith_short_16: BX2SCPH5R6C3NZTA · pith_short_8: BX2SCPH5

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/BX2SCPH5R6C3NZTA35JOYW6DLL \
  | 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: 0df5213cfd8f85b6e660df52ec5bc35adcfe07283c36a06c963830b99dca2794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37decf31f2f62c0fb48708f755016a62a94f6d352ed3ae6e14c4d9faaf18c3c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-24T12:28:03Z",
    "title_canon_sha256": "4adf1df3e67d78f52c2afa48ca65608f6e8eb13f110a3a6211f91a6d989723b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5358",
    "kind": "arxiv",
    "version": 1
  }
}