Pith Number

pith:575EVYIX

pith:2012:575EVYIX2SXKZLBHJS7IWWL7RE

not attested not anchored not stored refs pending

Local contact homology and applications

Leonardo Macarini, Umberto Hryniewicz

arxiv:1202.3122 v3 · 2012-02-14 · math.SG · 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{575EVYIX2SXKZLBHJS7IWWL7RE}

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	2026-05-18T03:12:46.592990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

effa4ae117d4aeacac274cbe8b597f892989acc53620485963ce55d747e371ff

Aliases

arxiv: 1202.3122 · arxiv_version: 1202.3122v3 · doi: 10.48550/arxiv.1202.3122 · pith_short_12: 575EVYIX2SXK · pith_short_16: 575EVYIX2SXKZLBH · pith_short_8: 575EVYIX

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/575EVYIX2SXKZLBHJS7IWWL7RE \
  | 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: effa4ae117d4aeacac274cbe8b597f892989acc53620485963ce55d747e371ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ec061e3d7a6b56e05f8c252c7b5ce2ebed7b66f8d1593e83838e04802d96f1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-02-14T19:55:13Z",
    "title_canon_sha256": "593f9b66b4c4f932b6000c8d1eb3006b058fed55e552eb9cde614761307b9749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3122",
    "kind": "arxiv",
    "version": 3
  }
}