Pith Number

pith:PCR3XMUN

pith:2013:PCR3XMUNV2EQ6EA6TX7VMW7FXJ

not attested not anchored not stored refs pending

Birth of the shape of a reachable set

Alexander Ovseevich, Elena Goncharova

arxiv:1312.4155 v2 · 2013-12-15 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCR3XMUNV2EQ6EA6TX7VMW7FXJ}

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	2026-05-18T02:20:10.689585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a3bbb28dae890f101e9dff565be5ba7f0f382fda1dd636a23f5b6c4d47af8c

Aliases

arxiv: 1312.4155 · arxiv_version: 1312.4155v2 · doi: 10.48550/arxiv.1312.4155 · pith_short_12: PCR3XMUNV2EQ · pith_short_16: PCR3XMUNV2EQ6EA6 · pith_short_8: PCR3XMUN

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/PCR3XMUNV2EQ6EA6TX7VMW7FXJ \
  | 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: 78a3bbb28dae890f101e9dff565be5ba7f0f382fda1dd636a23f5b6c4d47af8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aef25ea075e0398c13c4b3b04ee3fa7b0cd77c4df098f1118c45fa3a229b7d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-15T15:00:57Z",
    "title_canon_sha256": "f8cd40118bbef0656127b7eb0896a599c6bbfd03d5d35c39ec46b400862ade33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4155",
    "kind": "arxiv",
    "version": 2
  }
}