Pith Number

pith:HQWPDD7T

pith:2010:HQWPDD7T6ZKW5LGT76LY26ZZQT

not attested not anchored not stored refs pending

Thermal effects in gravitational Hartree systems

Christof Sparber, Gonca L. Aki, Jean Dolbeault (CEREMADE)

arxiv:1009.0128 v1 · 2010-09-01 · math.AP · math-ph · 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{HQWPDD7T6ZKW5LGT76LY26ZZQT}

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	2026-05-18T02:05:38.652598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c2cf18ff3f6556eacd3ff978d7b3984ca3354e57e0deb5a4b6cca237183fe3f

Aliases

arxiv: 1009.0128 · arxiv_version: 1009.0128v1 · doi: 10.48550/arxiv.1009.0128 · pith_short_12: HQWPDD7T6ZKW · pith_short_16: HQWPDD7T6ZKW5LGT · pith_short_8: HQWPDD7T

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/HQWPDD7T6ZKW5LGT76LY26ZZQT \
  | 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: 3c2cf18ff3f6556eacd3ff978d7b3984ca3354e57e0deb5a4b6cca237183fe3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f63aa97405eef44f7e2e30ed9382545c13ef58efa2c178fa668e57155f8df23",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-01T09:25:52Z",
    "title_canon_sha256": "6cf1ef5a50e0d50e4a6d2bb68aadb7df3a88c075c8f233338f4be25a4b47e54e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0128",
    "kind": "arxiv",
    "version": 1
  }
}