Pith Number

pith:HGWJOZ3P

pith:2017:HGWJOZ3PD24SATX3ODZVVCHNQ3

not attested not anchored not stored refs pending

Spectral invariants and playing hide-and-seek on surfaces

Jean Steiner, Peter G. Doyle

arxiv:1710.09857 v1 · 2017-10-26 · math.SP · 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{HGWJOZ3PD24SATX3ODZVVCHNQ3}

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	2026-05-18T00:31:55.326050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ac97676f1eb9204efb70f35a88ed86ce18326f77f36ad05680ba4e450b33b3

Aliases

arxiv: 1710.09857 · arxiv_version: 1710.09857v1 · doi: 10.48550/arxiv.1710.09857 · pith_short_12: HGWJOZ3PD24S · pith_short_16: HGWJOZ3PD24SATX3 · pith_short_8: HGWJOZ3P

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/HGWJOZ3PD24SATX3ODZVVCHNQ3 \
  | 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: 39ac97676f1eb9204efb70f35a88ed86ce18326f77f36ad05680ba4e450b33b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27df4563ccacae3277545d8375db246b7fef6261c1aac5bad325dc8cce7e3c62",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-26T18:37:15Z",
    "title_canon_sha256": "a18c51d63954861a5591f1fc49d647be6e25bcf15bdc70b6a2fcfd2b10ba215a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09857",
    "kind": "arxiv",
    "version": 1
  }
}