Pith Number

pith:3RDQHZOA

pith:2010:3RDQHZOAU5MRLTKTS7HD4DPXHM

not attested not anchored not stored refs pending

Quantization of branched coverings

Alexander Pavlov, Evgenij Troitsky

arxiv:1002.3491 v2 · 2010-02-18 · math.OA · math.GN · 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{3RDQHZOAU5MRLTKTS7HD4DPXHM}

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	2026-05-18T02:08:59.635968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4703e5c0a75915cd5397ce3e0df73b3e118c31046909497fbc37af347bee57

Aliases

arxiv: 1002.3491 · arxiv_version: 1002.3491v2 · doi: 10.48550/arxiv.1002.3491 · pith_short_12: 3RDQHZOAU5MR · pith_short_16: 3RDQHZOAU5MRLTKT · pith_short_8: 3RDQHZOA

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/3RDQHZOAU5MRLTKTS7HD4DPXHM \
  | 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: dc4703e5c0a75915cd5397ce3e0df73b3e118c31046909497fbc37af347bee57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451f1f30924d47657e5a396bd18be0a98c8ebee7d139982cdf35925e07f033df",
    "cross_cats_sorted": [
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-02-18T11:21:33Z",
    "title_canon_sha256": "9a36e8a86137d38a3454c2e5a9bdefe827db6b27c55d3578aade731d6bff6ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3491",
    "kind": "arxiv",
    "version": 2
  }
}