Pith Number

pith:FZUDU2RS

pith:2008:FZUDU2RSU4DR3FRFF2A45MVPZS

not attested not anchored not stored refs pending

Ice formation in the Arctic during summer: false-bottoms

Alain Pham Ngoc Dinh (MAPMO), Dang Duc Trong (UNS-HCMC), Pham Hoang Quan (UNS-HCMC), Phan Thanh Nam (UNS-HCMC)

arxiv:0807.2272 v2 · 2008-07-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZUDU2RSU4DR3FRFF2A45MVPZS}

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	2026-05-18T03:04:47.002359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e683a6a32a7071d96252e81ceb2afcc9a90c33171505f69bc5f6361f290a59d

Aliases

arxiv: 0807.2272 · arxiv_version: 0807.2272v2 · doi: 10.48550/arxiv.0807.2272 · pith_short_12: FZUDU2RSU4DR · pith_short_16: FZUDU2RSU4DR3FRF · pith_short_8: FZUDU2RS

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/FZUDU2RSU4DR3FRFF2A45MVPZS \
  | 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: 2e683a6a32a7071d96252e81ceb2afcc9a90c33171505f69bc5f6361f290a59d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76efdb604aec0dafeefa2492657b180408c861b421f6834408e3aeefc91d789a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-07-15T19:57:53Z",
    "title_canon_sha256": "c0271270cb980ef4a9fb684041072315bf27e1d514c6ebd9e656776a218b4b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2272",
    "kind": "arxiv",
    "version": 2
  }
}