Pith Number

pith:IHHJ7RRS

pith:2014:IHHJ7RRSNV5GTNXLC7WSW4H2BQ

not attested not anchored not stored refs pending

Dynamic construction of martingales of density functions

Shiqi Song

arxiv:1401.6909 v2 · 2014-01-27 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHHJ7RRSNV5GTNXLC7WSW4H2BQ}

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	2026-05-18T03:00:25.188623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ce9fc6326d7a69b6eb17ed2b70fa0c1af9f9ce6f63adbb90dc2f59489956a2

Aliases

arxiv: 1401.6909 · arxiv_version: 1401.6909v2 · doi: 10.48550/arxiv.1401.6909 · pith_short_12: IHHJ7RRSNV5G · pith_short_16: IHHJ7RRSNV5GTNXL · pith_short_8: IHHJ7RRS

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/IHHJ7RRSNV5GTNXLC7WSW4H2BQ \
  | 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: 41ce9fc6326d7a69b6eb17ed2b70fa0c1af9f9ce6f63adbb90dc2f59489956a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b8fd5bf4542e217ad3597d56337d7566a46de1fccb1a818c0c09912c98d7b47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-27T16:21:03Z",
    "title_canon_sha256": "5416009dcb35df3b6f628cd915f544500e06501e1339c29e7c2de2866cf6c363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6909",
    "kind": "arxiv",
    "version": 2
  }
}