Pith Number

pith:6HQBGFRP

pith:2008:6HQBGFRPACWLDXXC4DOX4BL4QB

not attested not anchored not stored refs pending

What is the optimal shape of a pipe?

Antoine Henrot (IECN, Inria Lorraine / Iecn / Mmas), Yannick Privat (IECN)

arxiv:0810.4322 v1 · 2008-10-23 · 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{6HQBGFRPACWLDXXC4DOX4BL4QB}

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	2026-05-18T02:15:23.482937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e013162f00acb1dee2e0dd7e057c8069446734e4c1847934daee77fd7be480

Aliases

arxiv: 0810.4322 · arxiv_version: 0810.4322v1 · doi: 10.48550/arxiv.0810.4322 · pith_short_12: 6HQBGFRPACWL · pith_short_16: 6HQBGFRPACWLDXXC · pith_short_8: 6HQBGFRP

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/6HQBGFRPACWLDXXC4DOX4BL4QB \
  | 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: f1e013162f00acb1dee2e0dd7e057c8069446734e4c1847934daee77fd7be480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce8274a7a705b4c2b6a4aab7edd7cf3478d496e8a0f26d60467791046bf229ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-10-23T19:28:15Z",
    "title_canon_sha256": "1f46bd9069185cf998919d0ea783fd8b0c45f2fa646eff88f1733a8d4112912b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4322",
    "kind": "arxiv",
    "version": 1
  }
}