Pith Number

pith:AJ4V7PQX

pith:2015:AJ4V7PQXGRGEOUEPLXKLCJB47S

not attested not anchored not stored refs pending

Remarks on spectral gaps on the Riemannian path space

Bo Wu, Shizan Fang

arxiv:1508.07657 v1 · 2015-08-31 · math.PR

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.

Receipt and verification

First computed	2026-05-18T01:34:31.718309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02795fbe17344c47508f5dd4b1243cfc8f10f40b4548bc0519e7be72c2ceeea0

Aliases

arxiv: 1508.07657 · arxiv_version: 1508.07657v1 · doi: 10.48550/arxiv.1508.07657 · pith_short_12: AJ4V7PQXGRGE · pith_short_16: AJ4V7PQXGRGEOUEP · pith_short_8: AJ4V7PQX

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/AJ4V7PQXGRGEOUEPLXKLCJB47S \
  | 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: 02795fbe17344c47508f5dd4b1243cfc8f10f40b4548bc0519e7be72c2ceeea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a48364500da9cee00f8fddcba2721a8cb1ce168aab940f68363565ec90c25ca1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-31T01:10:28Z",
    "title_canon_sha256": "dfce64926e3ddecbdd8dbc0acc0d6cd1441f59e7d0a264b827407d4c5ff4e86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07657",
    "kind": "arxiv",
    "version": 1
  }
}