Pith Number

pith:GCV2JSPS

pith:2012:GCV2JSPSBWJN5YQMW2KL3Q4XEM

not attested not anchored not stored refs pending

Diffeomorphisms of 7-Manifolds with Coclosed G_2-Structure

Albert J. Todd, Sema Salur

arxiv:1212.2261 v1 · 2012-12-11 · math.DG · hep-th · 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{GCV2JSPSBWJN5YQMW2KL3Q4XEM}

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	2026-05-18T03:38:45.483996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30aba4c9f20d92dee20cb694bdc3972330afd65d8179892ad650368c75d4f8e9

Aliases

arxiv: 1212.2261 · arxiv_version: 1212.2261v1 · doi: 10.48550/arxiv.1212.2261 · pith_short_12: GCV2JSPSBWJN · pith_short_16: GCV2JSPSBWJN5YQM · pith_short_8: GCV2JSPS

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/GCV2JSPSBWJN5YQMW2KL3Q4XEM \
  | 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: 30aba4c9f20d92dee20cb694bdc3972330afd65d8179892ad650368c75d4f8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a81f26361c4b04efa30d75d84b9c5adb4a52c592e549d95688b890f45c60b9ad",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-11T00:41:21Z",
    "title_canon_sha256": "af61a713af5f31b9b630ec3af27075a2c1534dfd538d5e1f19a7794a219f082b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2261",
    "kind": "arxiv",
    "version": 1
  }
}