Pith Number

pith:2ORRII6F

pith:2017:2ORRII6F7YX3SLS3T7GTSMAHSZ

not attested not anchored not stored refs pending

Plato's cave and differential forms

Fedor Manin

arxiv:1801.00335 v6 · 2017-12-31 · math.GT · math.AT · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ORRII6F7YX3SLS3T7GTSMAHSZ}

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	2026-07-05T01:13:50.953949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a31423c5fe2fb92e5b9fcd3930079642590211a104b29cae072d0a1308bb79

Aliases

arxiv: 1801.00335 · arxiv_version: 1801.00335v6 · doi: 10.48550/arxiv.1801.00335 · pith_short_12: 2ORRII6F7YX3 · pith_short_16: 2ORRII6F7YX3SLS3 · pith_short_8: 2ORRII6F

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2ORRII6F7YX3SLS3T7GTSMAHSZ \
  | 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: d3a31423c5fe2fb92e5b9fcd3930079642590211a104b29cae072d0a1308bb79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd1132c14ca679eb35bf9c40fae24fed80baa5b70629edac24a5e2da094c1bc",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-31T18:28:44Z",
    "title_canon_sha256": "c58485a8f61d1ec6fb9615d6f50c5389dfd87b00b69465625eb4deeaa5aacb9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00335",
    "kind": "arxiv",
    "version": 6
  }
}