Pith Number

pith:2IOCJRVY

pith:2012:2IOCJRVYXFOYSQ4L2XKQOYIQ4G

not attested not anchored not stored refs pending

The singular functions of branching edge asymptotics

B.-W. Schulze, L. Tepoyan

arxiv:1202.0387 v2 · 2012-02-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IOCJRVYXFOYSQ4L2XKQOYIQ4G}

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	2026-05-18T04:03:06.186592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21c24c6b8b95d89438bd5d5076110e1907d061609811e9379cdf24403224846

Aliases

arxiv: 1202.0387 · arxiv_version: 1202.0387v2 · doi: 10.48550/arxiv.1202.0387 · pith_short_12: 2IOCJRVYXFOY · pith_short_16: 2IOCJRVYXFOYSQ4L · pith_short_8: 2IOCJRVY

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/2IOCJRVYXFOYSQ4L2XKQOYIQ4G \
  | 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: d21c24c6b8b95d89438bd5d5076110e1907d061609811e9379cdf24403224846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff6475a689c2b015e30a7d302bea86b0c9013d56b4583d9c3536b4f191ddc3d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-02T09:05:03Z",
    "title_canon_sha256": "08c9215c323162b614f06e95d5d9da4954058f941175b7a45e7403ca138b4ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0387",
    "kind": "arxiv",
    "version": 2
  }
}