Pith. sign in
Pith Number

pith:4TRXZ4CU

pith:1999:4TRXZ4CUBUFFQFW5JGC3FRYKEX
not attested not anchored not stored refs pending

Formality conjecture for chains

Boris Tsygan

arxiv:math/9904132 v1 · 1999-04-23 · math.QA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4TRXZ4CUBUFFQFW5JGC3FRYKEX}

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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 2026-07-04T14:41:07.706121Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e4e37cf0540d0a5816dd4985b2c70a25e5351a7e54ee72e8d3b1ee04d9f0f12a

Aliases

arxiv: math/9904132 · arxiv_version: math/9904132v1 · doi: 10.48550/arxiv.math/9904132 · pith_short_12: 4TRXZ4CUBUFF · pith_short_16: 4TRXZ4CUBUFFQFW5 · pith_short_8: 4TRXZ4CU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4TRXZ4CUBUFFQFW5JGC3FRYKEX \
  | 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: e4e37cf0540d0a5816dd4985b2c70a25e5351a7e54ee72e8d3b1ee04d9f0f12a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "90866b85e1f862cda4388ee03d91c4c08cc886cdf906738b9e785f09d8275482",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-04-23T00:58:31Z",
    "title_canon_sha256": "796dbdeb2ea14f93d83aa9732351d8669eb008ea7adf7e52740937ced47c6b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9904132",
    "kind": "arxiv",
    "version": 1
  }
}