Pith Number

pith:7VQ3BU2H

pith:2015:7VQ3BU2HLAADIMWHIZPFZPQFTC

not attested not anchored not stored refs pending

Poincar\'e theory for decomposable cofrontiers

Andres Koropecki, Tobias J\"ager

arxiv:1506.01096 v2 · 2015-06-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VQ3BU2HLAADIMWHIZPFZPQFTC}

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	2026-05-18T00:57:44.405454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd61b0d34758003432c7465e5cbe0598a668e4b83f43502d1fe54ae5bc8d8905

Aliases

arxiv: 1506.01096 · arxiv_version: 1506.01096v2 · doi: 10.48550/arxiv.1506.01096 · pith_short_12: 7VQ3BU2HLAAD · pith_short_16: 7VQ3BU2HLAADIMWH · pith_short_8: 7VQ3BU2H

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/7VQ3BU2HLAADIMWHIZPFZPQFTC \
  | 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: fd61b0d34758003432c7465e5cbe0598a668e4b83f43502d1fe54ae5bc8d8905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b3dc4535e1d93d882111d8b13ebd914e5022d87e46280e7b84266e1d52a7121",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-03T00:44:59Z",
    "title_canon_sha256": "8ce851532efd710e860d1be3eb67c2b45ac557434a5581a2dfe8668ec7a20804"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01096",
    "kind": "arxiv",
    "version": 2
  }
}