Pith Number

pith:2XDXQSGE

pith:2012:2XDXQSGE6375X6ZMLVCVUIGG32

not attested not anchored not stored refs pending

Demmartingales and the functionnal Hill process for small parameters

Adja Mbarka Fall, Cheikhna Hamallah Ndiaye, Gane Samb Lo

arxiv:1208.1487 v3 · 2012-08-07 · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XDXQSGE6375X6ZMLVCVUIGG32}

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	2026-05-18T00:57:05.182495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c77848c4f6ffdbfb2c5d455a20c6dea61410d23613c8fdfdc9d70c6a9944d6

Aliases

arxiv: 1208.1487 · arxiv_version: 1208.1487v3 · doi: 10.48550/arxiv.1208.1487 · pith_short_12: 2XDXQSGE6375 · pith_short_16: 2XDXQSGE6375X6ZM · pith_short_8: 2XDXQSGE

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/2XDXQSGE6375X6ZMLVCVUIGG32 \
  | 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: d5c77848c4f6ffdbfb2c5d455a20c6dea61410d23613c8fdfdc9d70c6a9944d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f5361095d4e333cd705c1f278ad5b3b53aa50d869c9ac176574e6d0893f9a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2012-08-07T18:24:36Z",
    "title_canon_sha256": "453bf80cb2eeaf487c7548570b010b1c0342d342829135d1ae38c4882bd55dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1487",
    "kind": "arxiv",
    "version": 3
  }
}