Pith Number

pith:62ED5RFL

pith:2011:62ED5RFLBXYHBRF67YSRZN2TEZ

not attested not anchored not stored refs pending

Combinatorics of embeddings

Sergey A. Melikhov

arxiv:1103.5457 v2 · 2011-03-28 · math.GT · 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{62ED5RFLBXYHBRF67YSRZN2TEZ}

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	2026-05-18T04:22:00.506192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6883ec4ab0df070c4befe251cb753265155ebf2ed46e78b5becc57ca2c4b5bd

Aliases

arxiv: 1103.5457 · arxiv_version: 1103.5457v2 · doi: 10.48550/arxiv.1103.5457 · pith_short_12: 62ED5RFLBXYH · pith_short_16: 62ED5RFLBXYHBRF6 · pith_short_8: 62ED5RFL

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/62ED5RFLBXYHBRF67YSRZN2TEZ \
  | 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: f6883ec4ab0df070c4befe251cb753265155ebf2ed46e78b5becc57ca2c4b5bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48dacad71d6835e71e129285b816870d0a10bdfd2326faf7f0f1a02e409c8c1e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-28T19:50:25Z",
    "title_canon_sha256": "ee498ff5f1997ca66cebb73668c3f0f62c77aea732f81af39f7bf53831bf43da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5457",
    "kind": "arxiv",
    "version": 2
  }
}