Pith Number

pith:H2FWFNJD

pith:2013:H2FWFNJDHY6SZPTBDNURLOO6AF

not attested not anchored not stored refs pending

Asymptotics of Partial Density Functions for Divisors

Julius Ross, Michael Singer

arxiv:1312.1145 v3 · 2013-12-04 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2FWFNJDHY6SZPTBDNURLOO6AF}

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	2026-05-18T01:08:21.547187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e8b62b5233e3d2cbe611b6915b9de0148b94eda8c068a812d4a06986c2ac98a

Aliases

arxiv: 1312.1145 · arxiv_version: 1312.1145v3 · doi: 10.48550/arxiv.1312.1145 · pith_short_12: H2FWFNJDHY6S · pith_short_16: H2FWFNJDHY6SZPTB · pith_short_8: H2FWFNJD

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/H2FWFNJDHY6SZPTBDNURLOO6AF \
  | 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: 3e8b62b5233e3d2cbe611b6915b9de0148b94eda8c068a812d4a06986c2ac98a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf56caf8a84b4951c133ed01ff9c87e3b0f6d7a73e81865e6e7b5b9426b9abc",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-04T13:07:15Z",
    "title_canon_sha256": "6450e7568e0c4c26da51142cfb00058690aaaa84c45b8541a036a80a29d54301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1145",
    "kind": "arxiv",
    "version": 3
  }
}