Pith Number

pith:7P6RJCO2

pith:2008:7P6RJCO2MXMLWJZZQJILINZAKC

not attested not anchored not stored refs pending

Computing the smallest fixed point of order-preserving nonexpansive mappings arising in positive stochastic games and static analysis of programs

Assal\'e Adj\'e, Eric Goubault, St\'ephane Gaubert

arxiv:0806.1160 v4 · 2008-06-06 · 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{7P6RJCO2MXMLWJZZQJILINZAKC}

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	2026-05-18T03:00:27.620803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbfd1489da65d8bb27398250b4372050bf929a0cc6b9d46e5e89b088d97cceeb

Aliases

arxiv: 0806.1160 · arxiv_version: 0806.1160v4 · doi: 10.48550/arxiv.0806.1160 · pith_short_12: 7P6RJCO2MXML · pith_short_16: 7P6RJCO2MXMLWJZZ · pith_short_8: 7P6RJCO2

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/7P6RJCO2MXMLWJZZQJILINZAKC \
  | 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: fbfd1489da65d8bb27398250b4372050bf929a0cc6b9d46e5e89b088d97cceeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a6c944dc967c2bbe2de6b37bb9c2b00191f63fe7191406bd4467527f5abcef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2008-06-06T18:58:59Z",
    "title_canon_sha256": "420a9709236739d8670d978515ae08553ff64cf3d97a4b57725a061ba455bf57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1160",
    "kind": "arxiv",
    "version": 4
  }
}