Pith Number

pith:77FQBOQP

pith:2013:77FQBOQPIO53G6HREKHEEJUHHB

not attested not anchored not stored refs pending

Measuring dependence in metric abstract elementary classes with perturbations

{\AA}sa Hirvonen, Tapani Hyttinen

arxiv:1311.3806 v2 · 2013-11-15 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77FQBOQPIO53G6HREKHEEJUHHB}

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	2026-05-18T01:20:21.409262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffcb00ba0f43bbb378f1228e422687385d3431a0afc9068d0884609044c69c31

Aliases

arxiv: 1311.3806 · arxiv_version: 1311.3806v2 · doi: 10.48550/arxiv.1311.3806 · pith_short_12: 77FQBOQPIO53 · pith_short_16: 77FQBOQPIO53G6HR · pith_short_8: 77FQBOQP

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/77FQBOQPIO53G6HREKHEEJUHHB \
  | 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: ffcb00ba0f43bbb378f1228e422687385d3431a0afc9068d0884609044c69c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f6838200de67919554f85c852a763f6e3f838c39d898cba6862cd8f2c80b4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-11-15T10:57:38Z",
    "title_canon_sha256": "4e31a9b00cbcc3f28d482d713eab088c611071cb36a1a05e973f823d388b0002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3806",
    "kind": "arxiv",
    "version": 2
  }
}