Pith Number

pith:XFHDU6SZ

pith:2014:XFHDU6SZZSTK2GI7V2R5OUKHE4

not attested not anchored not stored refs pending

A Poincar\'e lemma for real-valued differential forms on Berkovich spaces

Philipp Jell

arxiv:1409.0676 v3 · 2014-09-02 · 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{XFHDU6SZZSTK2GI7V2R5OUKHE4}

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	2026-05-18T01:10:18.599598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94e3a7a59cca6ad191faea3d75147271659bc815ef34b5036e96747bc98d394

Aliases

arxiv: 1409.0676 · arxiv_version: 1409.0676v3 · doi: 10.48550/arxiv.1409.0676 · pith_short_12: XFHDU6SZZSTK · pith_short_16: XFHDU6SZZSTK2GI7 · pith_short_8: XFHDU6SZ

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/XFHDU6SZZSTK2GI7V2R5OUKHE4 \
  | 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: b94e3a7a59cca6ad191faea3d75147271659bc815ef34b5036e96747bc98d394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a381b8f85daf9902cc1922a46e62580c1baa056a17d1101989071ebab86ec6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-02T11:59:24Z",
    "title_canon_sha256": "b0c8c000e1dd38c892e127337f1f69ea4093d4060366db59f69f15e598d2e3f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0676",
    "kind": "arxiv",
    "version": 3
  }
}