Pith Number

pith:6L4UR6Z5

pith:2013:6L4UR6Z5VKWNTBTWPDGDONUBUJ

not attested not anchored not stored refs pending

A gauge theoretic approach to Einstein 4-manifolds

Dmitri Panov, Joel Fine, Kirill Krasnov

arxiv:1312.2831 v3 · 2013-12-10 · 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{6L4UR6Z5VKWNTBTWPDGDONUBUJ}

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	2026-05-18T01:09:42.411229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2f948fb3daaacd9867678cc373681a2586c038e6261cbd0caf3cc5db93b6ba5

Aliases

arxiv: 1312.2831 · arxiv_version: 1312.2831v3 · doi: 10.48550/arxiv.1312.2831 · pith_short_12: 6L4UR6Z5VKWN · pith_short_16: 6L4UR6Z5VKWNTBTW · pith_short_8: 6L4UR6Z5

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/6L4UR6Z5VKWNTBTWPDGDONUBUJ \
  | 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: f2f948fb3daaacd9867678cc373681a2586c038e6261cbd0caf3cc5db93b6ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd56a5ef41ec87e62ef471940b08b68324adb53efe2073ba35f7e8cd9fad1289",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-10T15:22:11Z",
    "title_canon_sha256": "ebda89968287724a4e1651c173f798f759fc8cae10c0f9f540eb36246195a18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2831",
    "kind": "arxiv",
    "version": 3
  }
}