Pith Number

pith:JL5MI3SI

pith:2008:JL5MI3SIBKPGCEMYDZNHV33CFQ

not attested not anchored not stored refs pending

Smooth Functors vs. Differential Forms

Konrad Waldorf, Urs Schreiber

arxiv:0802.0663 v4 · 2008-02-05 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JL5MI3SIBKPGCEMYDZNHV33CFQ}

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.

Cited by

2 papers in Pith

3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics

Adjusted connections on non-abelian bundle gerbes

Receipt and verification

First computed	2026-05-18T04:17:25.325099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4afac46e480a9e6111981e5a7aef622c112dbfd38b7a49ad4489905de90973fb

Aliases

arxiv: 0802.0663 · arxiv_version: 0802.0663v4 · doi: 10.48550/arxiv.0802.0663 · pith_short_12: JL5MI3SIBKPG · pith_short_16: JL5MI3SIBKPGCEMY · pith_short_8: JL5MI3SI

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/JL5MI3SIBKPGCEMYDZNHV33CFQ \
  | 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: 4afac46e480a9e6111981e5a7aef622c112dbfd38b7a49ad4489905de90973fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b2e862d5387b5caf6d429bbc487c68a1ce3ab6217c1c944f4b6aaffe856bef3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-02-05T16:48:51Z",
    "title_canon_sha256": "93611f196706e9d776164f8bdd71a424838bc472200cbd9ef2257cf67916ad29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0663",
    "kind": "arxiv",
    "version": 4
  }
}