Pith Number

pith:K4IAGKAB

pith:2014:K4IAGKABQIMRHTABVL4RZOUYNX

not attested not anchored not stored refs pending

Multi-microlocalization and microsupport

Luca Prelli, Naofumi Honda, Susumu Yamazaki

arxiv:1401.0746 v1 · 2014-01-03 · 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{K4IAGKABQIMRHTABVL4RZOUYNX}

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	2026-05-18T03:03:12.126573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5710032801821913cc01aaf91cba986df5d63c1db447e567e58bb18831ea4df3

Aliases

arxiv: 1401.0746 · arxiv_version: 1401.0746v1 · doi: 10.48550/arxiv.1401.0746 · pith_short_12: K4IAGKABQIMR · pith_short_16: K4IAGKABQIMRHTAB · pith_short_8: K4IAGKAB

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/K4IAGKABQIMRHTABVL4RZOUYNX \
  | 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: 5710032801821913cc01aaf91cba986df5d63c1db447e567e58bb18831ea4df3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de8fdafdf37a69b7a88bb0fdd178bac6003c68df90a7f4f2c979472721fc1abd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-03T22:28:42Z",
    "title_canon_sha256": "616f16da87372a70930e385b9283e8e870904c2b665051d4e7cacd0af3822702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0746",
    "kind": "arxiv",
    "version": 1
  }
}