Pith Number

pith:QNRN6QFF

pith:2013:QNRN6QFFR6GT5IBOWOXSM2TBRS

not attested not anchored not stored refs pending

Sections of surface bundles

Jonathan A. Hillman

arxiv:1309.3803 v4 · 2013-09-15 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QNRN6QFFR6GT5IBOWOXSM2TBRS}

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	2026-05-18T00:11:19.636268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8362df40a58f8d3ea02eb3af266a618c9ff408a4002185272367e4a68559c612

Aliases

arxiv: 1309.3803 · arxiv_version: 1309.3803v4 · doi: 10.48550/arxiv.1309.3803 · pith_short_12: QNRN6QFFR6GT · pith_short_16: QNRN6QFFR6GT5IBO · pith_short_8: QNRN6QFF

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/QNRN6QFFR6GT5IBOWOXSM2TBRS \
  | 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: 8362df40a58f8d3ea02eb3af266a618c9ff408a4002185272367e4a68559c612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0adf03dae13441afe27073b954af8a7d02b017942bb8d53babf6f37f41b59ba",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-15T23:18:08Z",
    "title_canon_sha256": "fad3154013e4dea48b8b808bb5362f9cacab4520795aedd1b148a257e3a761bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3803",
    "kind": "arxiv",
    "version": 4
  }
}