Pith Number

pith:QG5ZSR7O

pith:2026:QG5ZSR7OK7C5AXJWCKWEOGISEE

not attested not anchored not stored refs pending

On The Morel Structure Conjecture

Giacomo Bertizzolo

arxiv:2607.08905 v1 · 2026-07-09 · math.KT · 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{QG5ZSR7OK7C5AXJWCKWEOGISEE}

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	2026-07-13T00:17:26.041800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81bb9947ee57c5d05d3612ac471912211460a6449495754cdcdc110b55313d82

Aliases

arxiv: 2607.08905 · arxiv_version: 2607.08905v1 · doi: 10.48550/arxiv.2607.08905 · pith_short_12: QG5ZSR7OK7C5 · pith_short_16: QG5ZSR7OK7C5AXJW · pith_short_8: QG5ZSR7O

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/QG5ZSR7OK7C5AXJWCKWEOGISEE \
  | 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: 81bb9947ee57c5d05d3612ac471912211460a6449495754cdcdc110b55313d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b98936d5600175eb128c5b5a7500cb528a3ce3ee8528d16177b77c24cfbdcc2",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2026-07-09T19:58:37Z",
    "title_canon_sha256": "4bbf586cacc62b5c881c08a8f0cd09c53e32f3ee482438b3ec2b5c9752921142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08905",
    "kind": "arxiv",
    "version": 1
  }
}