Pith Number

pith:B5E3OT7S

pith:2008:B5E3OT7SPBPCI3UKJFPYCLYUO5

not attested not anchored not stored refs pending

The space of volume forms

Weiyong He, Xiuxiong Chen

arxiv:0810.3880 v2 · 2008-10-21 · math.DG · 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{B5E3OT7SPBPCI3UKJFPYCLYUO5}

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	2026-07-04T17:26:28.861618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f49b74ff2785e246e8a495f812f147745b4398220d6bb3e9e593c8703b6ab30

Aliases

arxiv: 0810.3880 · arxiv_version: 0810.3880v2 · doi: 10.48550/arxiv.0810.3880 · pith_short_12: B5E3OT7SPBPC · pith_short_16: B5E3OT7SPBPCI3UK · pith_short_8: B5E3OT7S

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/B5E3OT7SPBPCI3UKJFPYCLYUO5 \
  | 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: 0f49b74ff2785e246e8a495f812f147745b4398220d6bb3e9e593c8703b6ab30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24252b55116787d2e2e41c8f262ef601041b24db6813c5a38fc8c431059f2758",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-10-21T17:37:13Z",
    "title_canon_sha256": "568fca1d0523f80a68a2cc066cea4a8fdcb26aef2433385036570f127eafc168"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3880",
    "kind": "arxiv",
    "version": 2
  }
}