Pith Number

pith:6I7UZSRU

pith:2019:6I7UZSRUOMPVTNLFMPZFCR2BBW

not attested not anchored not stored refs pending

Insertion algorithm for inverting the signature of a path

Jiawei Chang, Terry Lyons

arxiv:1907.08423 v1 · 2019-07-19 · math.PR · cs.NA · math.NA

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

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.

Cited by

1 paper in Pith

SignatureTensors.jl: A Package for Signature Tensors in Julia

Receipt and verification

First computed	2026-05-17T23:40:09.903494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23f4cca34731f59b56563f25147410da2a5875fa3597882fb395e9c05d538cf

Aliases

arxiv: 1907.08423 · arxiv_version: 1907.08423v1 · doi: 10.48550/arxiv.1907.08423 · pith_short_12: 6I7UZSRUOMPV · pith_short_16: 6I7UZSRUOMPVTNLF · pith_short_8: 6I7UZSRU

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/6I7UZSRUOMPVTNLFMPZFCR2BBW \
  | 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: f23f4cca34731f59b56563f25147410da2a5875fa3597882fb395e9c05d538cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d8cebd728c27dece6ef029254e5695a3a01c4e6c3ea91a2725806445a83d40",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-19T09:26:37Z",
    "title_canon_sha256": "64954c5338a2900cada2b672cb8bf380d704509e6894b8cfcad43d70b9094e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08423",
    "kind": "arxiv",
    "version": 1
  }
}