Pith Number

pith:I7QFEMHW

pith:2011:I7QFEMHW3QRBS3XV5CZ7KRKGUK

not attested not anchored not stored refs pending

Stacks of ramified abelian covers

Fabio Tonini

arxiv:1106.2347 v2 · 2011-06-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7QFEMHW3QRBS3XV5CZ7KRKGUK}

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	2026-05-18T04:12:20.807645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e05230f6dc22196ef5e8b3f54546a2b7d5a272afd2a0a27b0c8040472b786c

Aliases

arxiv: 1106.2347 · arxiv_version: 1106.2347v2 · doi: 10.48550/arxiv.1106.2347 · pith_short_12: I7QFEMHW3QRB · pith_short_16: I7QFEMHW3QRBS3XV · pith_short_8: I7QFEMHW

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/I7QFEMHW3QRBS3XV5CZ7KRKGUK \
  | 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: 47e05230f6dc22196ef5e8b3f54546a2b7d5a272afd2a0a27b0c8040472b786c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e54d060dbae633813bde1ac1a6460a50dc10e6e6d9f866de55fbe8235332b26f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-12T21:32:34Z",
    "title_canon_sha256": "06ee6efb973067e6cd642a8693dec0487d5040f26d0bac214fc271d924d137bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2347",
    "kind": "arxiv",
    "version": 2
  }
}