Pith Number

pith:XTCM4RB5

pith:2018:XTCM4RB5A6LDQDZ7P3OSO3EK4P

not attested not anchored not stored refs pending

A1 contractibility of affine modifications

Adrien Dubouloz, Paul Arne {\O}stv{\ae}r, Sabrina Pauli

arxiv:1805.08959 v1 · 2018-05-23 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTCM4RB5A6LDQDZ7P3OSO3EK4P}

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	2026-05-18T00:15:08.932215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc4ce443d0796380f3f7edd276c8ae3c487b72ea77be50a631e2a9ba4451e79

Aliases

arxiv: 1805.08959 · arxiv_version: 1805.08959v1 · doi: 10.48550/arxiv.1805.08959 · pith_short_12: XTCM4RB5A6LD · pith_short_16: XTCM4RB5A6LDQDZ7 · pith_short_8: XTCM4RB5

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/XTCM4RB5A6LDQDZ7P3OSO3EK4P \
  | 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: bcc4ce443d0796380f3f7edd276c8ae3c487b72ea77be50a631e2a9ba4451e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69a1716d8f40a551052e3286869e95b61f4ad4505684827a3fdc9c0aa2a3ee8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-23T04:31:46Z",
    "title_canon_sha256": "3884cf9d271bf6687746524e9f8ce27d1550823c700c7f96c984b442c73b3674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08959",
    "kind": "arxiv",
    "version": 1
  }
}