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Pith Number

pith:J6UTM3MV

pith:2021:J6UTM3MVRMMITARMCEXIWWOPIW
not attested not anchored not stored refs pending

Heat kernel expansion for higher order minimal and nonminimal operators

Andrei O. Barvinsky, Wladyslaw Wachowski

arxiv:2112.03062 v2 · 2021-12-06 · hep-th · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{J6UTM3MVRMMITARMCEXIWWOPIW}

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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

3 papers in Pith

Receipt and verification
First computed 2026-07-05T04:09:59.801377Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4fa9366d958b1889822c112e8b59cf45b1650c4079a7fcd312651ee7faee58e4

Aliases

arxiv: 2112.03062 · arxiv_version: 2112.03062v2 · doi: 10.48550/arxiv.2112.03062 · pith_short_12: J6UTM3MVRMMI · pith_short_16: J6UTM3MVRMMITARM · pith_short_8: J6UTM3MV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/J6UTM3MVRMMITARMCEXIWWOPIW \
  | 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: 4fa9366d958b1889822c112e8b59cf45b1650c4079a7fcd312651ee7faee58e4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a41cac907ae3b937bc5304ba21a98e72155b1e6a199a29dd6ea932474e65867a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-06T14:13:58Z",
    "title_canon_sha256": "7769beb5d42fb27f9b7645a14879a0bdf29363f7784d63bff1e19a2fdba70345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.03062",
    "kind": "arxiv",
    "version": 2
  }
}