Pith Number

pith:JS4ZIXX3

pith:2018:JS4ZIXX3IEGA44G4GHBFGC4QY3

not attested not anchored not stored refs pending

Harmonic functions on mated-CRT maps

Ewain Gwynne, Jason Miller, Scott Sheffield

arxiv:1807.07511 v3 · 2018-07-19 · math.PR · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JS4ZIXX3IEGA44G4GHBFGC4QY3}

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	2026-05-17T23:45:09.746132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb9945efb410c0e70dc31c2530b90c6c8e4ba05536be6c6018428eccbd6efbd

Aliases

arxiv: 1807.07511 · arxiv_version: 1807.07511v3 · doi: 10.48550/arxiv.1807.07511 · pith_short_12: JS4ZIXX3IEGA · pith_short_16: JS4ZIXX3IEGA44G4 · pith_short_8: JS4ZIXX3

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/JS4ZIXX3IEGA44G4GHBFGC4QY3 \
  | 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: 4cb9945efb410c0e70dc31c2530b90c6c8e4ba05536be6c6018428eccbd6efbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40768a63c03690220e6737eaf9535c4511e8729a84d7640a99fae66278e746b1",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-19T16:04:05Z",
    "title_canon_sha256": "594f69fcb4b634c8bce95d8d99ba23cdf1ab5e318c3430a7ff8c022ec27fd3d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07511",
    "kind": "arxiv",
    "version": 3
  }
}