Pith. sign in
Pith Number

pith:GRNSATOJ

pith:2020:GRNSATOJK746XMKQYN54YYG3WE
not attested not anchored not stored refs pending

Mixed network calculus

Yegor Zenkevich

arxiv:2012.15563 v1 · 2020-12-31 · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GRNSATOJK746XMKQYN54YYG3WE}

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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 2026-07-05T03:42:38.822482Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

345b204dc957f9ebb150c37bcc60dbb11967a4b9a6988b7951ecc52fdcd44c47

Aliases

arxiv: 2012.15563 · arxiv_version: 2012.15563v1 · doi: 10.48550/arxiv.2012.15563 · pith_short_12: GRNSATOJK746 · pith_short_16: GRNSATOJK746XMKQ · pith_short_8: GRNSATOJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GRNSATOJK746XMKQYN54YYG3WE \
  | 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: 345b204dc957f9ebb150c37bcc60dbb11967a4b9a6988b7951ecc52fdcd44c47
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6e54abd902e9e06fee73f0a6fd6c50fb86731c438079db9f268cddc8f50f75c1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-12-31T11:38:05Z",
    "title_canon_sha256": "9f7e690ab2b29499362fdce334c8d2e76d90cffaecd87f1d3712dd2425f231e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.15563",
    "kind": "arxiv",
    "version": 1
  }
}