Pith Number

pith:2ATIADXO

pith:2014:2ATIADXOCBDWC4EWLQQ5U4M7Z7

not attested not anchored not stored refs pending

Vertical Limits of Graph Domains

Dragomir Saric, Hrant Hakobyan

arxiv:1409.5513 v1 · 2014-09-19 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ATIADXOCBDWC4EWLQQ5U4M7Z7}

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	2026-05-18T02:42:27.278453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d026800eee10476170965c21da719fcfc7a279abf2b74eefd1e2139583e9b3dc

Aliases

arxiv: 1409.5513 · arxiv_version: 1409.5513v1 · doi: 10.48550/arxiv.1409.5513 · pith_short_12: 2ATIADXOCBDW · pith_short_16: 2ATIADXOCBDWC4EW · pith_short_8: 2ATIADXO

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/2ATIADXOCBDWC4EWLQQ5U4M7Z7 \
  | 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: d026800eee10476170965c21da719fcfc7a279abf2b74eefd1e2139583e9b3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1968a228c28d126c66c3f504bbd97414ee0ca539a3b8500c414264136c07fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-09-19T04:08:23Z",
    "title_canon_sha256": "4707a3607bf540e3f707352ab40a3ef2298eac04f20db2b58d023d88aeb5c2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5513",
    "kind": "arxiv",
    "version": 1
  }
}