Pith Number

pith:TMLVL4DD

pith:2012:TMLVL4DDTFOAZYVZDKN5XEYSHL

not attested not anchored not stored refs pending

Pull-back Morphisms for Reflexive Differential Forms

Stefan Kebekus

arxiv:1210.3255 v2 · 2012-10-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMLVL4DDTFOAZYVZDKN5XEYSHL}

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	2026-05-18T03:17:57.164765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1755f063995c0ce2b91a9bdb93123ad467d33209149b08febb1d343f279480

Aliases

arxiv: 1210.3255 · arxiv_version: 1210.3255v2 · doi: 10.48550/arxiv.1210.3255 · pith_short_12: TMLVL4DDTFOA · pith_short_16: TMLVL4DDTFOAZYVZ · pith_short_8: TMLVL4DD

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/TMLVL4DDTFOAZYVZDKN5XEYSHL \
  | 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: 9b1755f063995c0ce2b91a9bdb93123ad467d33209149b08febb1d343f279480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b540b28e4bc904256ec47ef34df1c26a146f116d80b0abc9bbdcd9c707a97a78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-11T14:31:58Z",
    "title_canon_sha256": "b50fbabcfc6d0c06d5e3a0301802bfc8ddb7aa11564bae6752dd06d419867697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3255",
    "kind": "arxiv",
    "version": 2
  }
}