Pith Number

pith:I2Z5Q2TP

pith:2011:I2Z5Q2TPJFRZTQFJMWRY2SYLPI

not attested not anchored not stored refs pending

Robust hedging and pathwise calculus

Heikki Tikanm\"aki

arxiv:1110.5202 v3 · 2011-10-24 · 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{I2Z5Q2TPJFRZTQFJMWRY2SYLPI}

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	2026-05-18T04:06:44.633034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b3d86a6f496399c0a965a38d4b0b7a2bfbf1f988b679e92c15274b3b828a1f

Aliases

arxiv: 1110.5202 · arxiv_version: 1110.5202v3 · doi: 10.48550/arxiv.1110.5202 · pith_short_12: I2Z5Q2TPJFRZ · pith_short_16: I2Z5Q2TPJFRZTQFJ · pith_short_8: I2Z5Q2TP

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/I2Z5Q2TPJFRZTQFJMWRY2SYLPI \
  | 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: 46b3d86a6f496399c0a965a38d4b0b7a2bfbf1f988b679e92c15274b3b828a1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94f74d1cab5333d7a319f72a68a3a55ae988b716b1dae4d412c02233bfacfce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-24T11:42:57Z",
    "title_canon_sha256": "924b7b9420a2d5eff478aa65796e813630c90413aadda6d693afa618f5b58402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5202",
    "kind": "arxiv",
    "version": 3
  }
}