Pith Number

pith:UAMESKA5

pith:2010:UAMESKA5IW74F4VM2OBCL5H4SK

not attested not anchored not stored refs pending

How powerful are integer-valued martingales?

Frank Stephan, Jason Teutsch, Laurent Bienvenu

arxiv:1004.0838 v2 · 2010-04-06 · cs.GT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UAMESKA5IW74F4VM2OBCL5H4SK}

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	2026-05-18T02:08:14.162654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a01849281d45bfc2f2acd38225f4fc92ac7ec0a421963866cc71fd72d38848fb

Aliases

arxiv: 1004.0838 · arxiv_version: 1004.0838v2 · doi: 10.48550/arxiv.1004.0838 · pith_short_12: UAMESKA5IW74 · pith_short_16: UAMESKA5IW74F4VM · pith_short_8: UAMESKA5

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/UAMESKA5IW74F4VM2OBCL5H4SK \
  | 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: a01849281d45bfc2f2acd38225f4fc92ac7ec0a421963866cc71fd72d38848fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffab60faeb34e53c33f58df6f528b8c7b5e0381529c0fae9ec88f61f6f3c95e2",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "cs.GT",
    "submitted_at": "2010-04-06T12:22:10Z",
    "title_canon_sha256": "d644409b57778697a0b9cc27e5d5f8a2d43e9119ab3ba0fdb229a35117bc3184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0838",
    "kind": "arxiv",
    "version": 2
  }
}