Pith Number

pith:Q6TEB3NM

pith:2010:Q6TEB3NM3YER257ZHJA223KWNQ

not attested not anchored not stored refs pending

A Morse complex on manifolds with boundary

Francois Laudenbach (LMJL)

arxiv:1003.5077 v2 · 2010-03-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q6TEB3NM3YER257ZHJA223KWNQ}

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	2026-05-18T04:13:47.233572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a640edacde091d77f93a41ad6d566c1a10a767716151e50b055aeef7baaf0c

Aliases

arxiv: 1003.5077 · arxiv_version: 1003.5077v2 · doi: 10.48550/arxiv.1003.5077 · pith_short_12: Q6TEB3NM3YER · pith_short_16: Q6TEB3NM3YER257Z · pith_short_8: Q6TEB3NM

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/Q6TEB3NM3YER257ZHJA223KWNQ \
  | 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: 87a640edacde091d77f93a41ad6d566c1a10a767716151e50b055aeef7baaf0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38ddc968d0beec7965edbfbba90bb100dd53a88c463fb7f0131973c9692caf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-26T08:14:22Z",
    "title_canon_sha256": "46c327c95f9c33bfc086c816de661253d6f7d37c48695a2a1bc4e8a0d23b4b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5077",
    "kind": "arxiv",
    "version": 2
  }
}