pith. sign in
Pith Number

pith:MU2JZ3GM

pith:2012:MU2JZ3GMU2UJZWM3NTOROSAWVA
not attested not anchored not stored refs pending

Did Hypatia Know about Negative Numbers?

(2) English Literature Department, Anna Cetera (2) ((1) Physics Department, Goteborg University, Marek Abramowicz (1), Poland), Sweden, Warsaw University

arxiv:1208.3274 v1 · 2012-08-16 · math.HO · physics.hist-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MU2JZ3GMU2UJZWM3NTOROSAWVA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.
Receipt and verification
First computed 2026-05-18T03:48:36.351851Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

65349ceccca6a89cd99b6cdd174816a80e976a49337e9dbc95ea4f0615d2a91d

Aliases

arxiv: 1208.3274 · arxiv_version: 1208.3274v1 · doi: 10.48550/arxiv.1208.3274 · pith_short_12: MU2JZ3GMU2UJ · pith_short_16: MU2JZ3GMU2UJZWM3 · pith_short_8: MU2JZ3GM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MU2JZ3GMU2UJZWM3NTOROSAWVA \
  | 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: 65349ceccca6a89cd99b6cdd174816a80e976a49337e9dbc95ea4f0615d2a91d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "971e1b30e694ce87802001f153d92d9d39ecd17c8571cb0d687e9ffdbb6ab157",
    "cross_cats_sorted": [
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-08-16T03:11:12Z",
    "title_canon_sha256": "205773e06022f2abd73cea91b96c768c18346f1f7ae089f2c608e946c8090125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3274",
    "kind": "arxiv",
    "version": 1
  }
}