Pith Number

pith:GJZDUY2F

pith:2026:GJZDUY2FFL5GAT3BG3RDBWXOLN

not attested not anchored not stored refs pending

The symplectic Hadamard question

Dan Cristofaro-Gardiner

arxiv:2607.12940 v1 · 2026-07-14 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJZDUY2FFL5GAT3BG3RDBWXOLN}

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	2026-07-15T01:22:26.468348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32723a63452afa604f6136e230daee5b6974933a66386472dd82c748d9187e69

Aliases

arxiv: 2607.12940 · arxiv_version: 2607.12940v1 · doi: 10.48550/arxiv.2607.12940 · pith_short_12: GJZDUY2FFL5G · pith_short_16: GJZDUY2FFL5GAT3B · pith_short_8: GJZDUY2F

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/GJZDUY2FFL5GAT3BG3RDBWXOLN \
  | 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: 32723a63452afa604f6136e230daee5b6974933a66386472dd82c748d9187e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0c8fc367443378dd316abe5024d7d5d6950d016b63caa8bfe7710e9b928e1fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-07-14T16:14:57Z",
    "title_canon_sha256": "533bfbdd8262428cddc23260c3c7ebd043fc5adb37d7c615f772060a572ed252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12940",
    "kind": "arxiv",
    "version": 1
  }
}