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Pith Number

pith:P7IX2M5P

pith:2011:P7IX2M5PHCDEUM7BBSEWX2GCR7
not attested not anchored not stored refs pending

Off-diagonal heat-kernel expansion and its application to fields with differential constraints

Frank Saueressig, Kai Groh, Omar Zanusso

arxiv:1112.4856 v1 · 2011-12-20 · math-ph · gr-qc · hep-th · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P7IX2M5PHCDEUM7BBSEWX2GCR7}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T04:05:57.058609Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7fd17d33af38864a33e10c896be8c28fde509a881fdf772cbc77a2bc8a5fc55b

Aliases

arxiv: 1112.4856 · arxiv_version: 1112.4856v1 · doi: 10.48550/arxiv.1112.4856 · pith_short_12: P7IX2M5PHCDE · pith_short_16: P7IX2M5PHCDEUM7B · pith_short_8: P7IX2M5P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P7IX2M5PHCDEUM7BBSEWX2GCR7 \
  | 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: 7fd17d33af38864a33e10c896be8c28fde509a881fdf772cbc77a2bc8a5fc55b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5e1a08f0a881739c1195e309dc44bc45c55fd255c6b9faf1674913921740fb9c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-20T21:14:03Z",
    "title_canon_sha256": "73868110aea2baae8c9c80db49190c957571b4ad1548ffd86800477fe0a463b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4856",
    "kind": "arxiv",
    "version": 1
  }
}