Pith Number

pith:AXBKQRVQ

pith:2011:AXBKQRVQHT34RKYVM4DOZAZQPO

not attested not anchored not stored refs pending

Sheaves of metric structures

Andr\'es Villaveces, Maicol A. Ochoa

arxiv:1110.4919 v3 · 2011-10-21 · math.LO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXBKQRVQHT34RKYVM4DOZAZQPO}

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	2026-05-18T03:58:36.760868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c2a846b03cf7c8ab156706ec83307b8d48a53f7d5cb0e11d9addbf9c2e027f

Aliases

arxiv: 1110.4919 · arxiv_version: 1110.4919v3 · doi: 10.48550/arxiv.1110.4919 · pith_short_12: AXBKQRVQHT34 · pith_short_16: AXBKQRVQHT34RKYV · pith_short_8: AXBKQRVQ

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/AXBKQRVQHT34RKYVM4DOZAZQPO \
  | 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: 05c2a846b03cf7c8ab156706ec83307b8d48a53f7d5cb0e11d9addbf9c2e027f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1cf631a8543d552664c77644e3e070ff7ebf7a02c0417fd39c729de3c9df7a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-21T22:37:03Z",
    "title_canon_sha256": "70e477ca797af9b346b09beeae2d32a4d342d3b9b6e23c7b946ac618fe0e1dd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4919",
    "kind": "arxiv",
    "version": 3
  }
}