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Pith Number

pith:3TTYM52G

pith:2013:3TTYM52G47ZCIFQREZORH32EOK
not attested not anchored not stored refs pending

Hexagon functions and the three-loop remainder function

James M. Drummond, Jeffrey Pennington, Lance J. Dixon, Matt von Hippel

arxiv:1308.2276 v2 · 2013-08-10 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3TTYM52G47ZCIFQREZORH32EOK}

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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

2 papers in Pith

Receipt and verification
First computed 2026-05-18T01:48:16.671524Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dce7867746e7f2241611265d13ef4472abd114501b5daa4cd12d2dd16829f2d8

Aliases

arxiv: 1308.2276 · arxiv_version: 1308.2276v2 · doi: 10.48550/arxiv.1308.2276 · pith_short_12: 3TTYM52G47ZC · pith_short_16: 3TTYM52G47ZCIFQR · pith_short_8: 3TTYM52G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3TTYM52G47ZCIFQREZORH32EOK \
  | 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: dce7867746e7f2241611265d13ef4472abd114501b5daa4cd12d2dd16829f2d8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "82becb94975c0afa199ea43b071c30f4db20811e8b6fae4ade42bdaf1b94f044",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-08-10T04:58:44Z",
    "title_canon_sha256": "913870310525d1b7e7bcc01844351ccba684c0b64cfd0979ca4b7a1286a41dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2276",
    "kind": "arxiv",
    "version": 2
  }
}