Pith Number

pith:7PW4OJS3

pith:2014:7PW4OJS3HZHLXQO23RH6E5TUN6

not attested not anchored not stored refs pending

Inverting the signature of a path

Terry Lyons, Weijun Xu

arxiv:1406.7833 v5 · 2014-06-30 · math.CA · 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{7PW4OJS3HZHLXQO23RH6E5TUN6}

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	2026-05-18T00:14:23.354338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbedc7265b3e4ebbc1dadc4fe276746f89c49d738209afefc7dc9a5f4f38aaf6

Aliases

arxiv: 1406.7833 · arxiv_version: 1406.7833v5 · doi: 10.48550/arxiv.1406.7833 · pith_short_12: 7PW4OJS3HZHL · pith_short_16: 7PW4OJS3HZHLXQO2 · pith_short_8: 7PW4OJS3

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/7PW4OJS3HZHLXQO23RH6E5TUN6 \
  | 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: fbedc7265b3e4ebbc1dadc4fe276746f89c49d738209afefc7dc9a5f4f38aaf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f462200c20c42c4dedcdc278a8f871f15844677767a28ac7df703021abc1aebc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-06-30T18:00:59Z",
    "title_canon_sha256": "19a78ee09ac09474231d6eb8fab1414a52963e93d17e9e4d118b521e91af7fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7833",
    "kind": "arxiv",
    "version": 5
  }
}