Pith Number

pith:JRCGFGUZ

pith:2026:JRCGFGUZPTC6F5THDBB6U7NDJT

not attested not anchored not stored refs pending

Diffeological non-Abelian Hodge theory: relative harmonic metrics and deformation theory

Mahmud Azam, Steven Rayan

arxiv:2607.18989 v1 · 2026-07-21 · math.DG · math.AG · math.AP · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRCGFGUZPTC6F5THDBB6U7NDJT}

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	2026-07-22T01:24:03.221169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c44629a997cc5e2f6671843ea7da34cd1c8756197294c46828974b9a3c89f20

Aliases

arxiv: 2607.18989 · arxiv_version: 2607.18989v1 · doi: 10.48550/arxiv.2607.18989 · pith_short_12: JRCGFGUZPTC6 · pith_short_16: JRCGFGUZPTC6F5TH · pith_short_8: JRCGFGUZ

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/JRCGFGUZPTC6F5THDBB6U7NDJT \
  | 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: 4c44629a997cc5e2f6671843ea7da34cd1c8756197294c46828974b9a3c89f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3251f87e90f2eaad511d247081f415faa9be1da2c498e69e36cc67ddbb86ac",
    "cross_cats_sorted": [
      "math.AG",
      "math.AP",
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-21T11:20:14Z",
    "title_canon_sha256": "79244c27834bb967332645322da64cda05bf0bc0a157b3a7969163310925052d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18989",
    "kind": "arxiv",
    "version": 1
  }
}