Pith Number

pith:TG4H4XJU

pith:2015:TG4H4XJUXJIBOPMNGSZYRAI56F

not attested not anchored not stored refs pending

Surface bundles over surfaces with a fixed signature

Ju A Lee

arxiv:1511.06602 v2 · 2015-11-20 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TG4H4XJUXJIBOPMNGSZYRAI56F}

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	2026-05-18T01:12:55.150515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b87e5d34ba50173d8d34b388811df177d104c3d5bb1ca9ee0f77c733775c66

Aliases

arxiv: 1511.06602 · arxiv_version: 1511.06602v2 · doi: 10.48550/arxiv.1511.06602 · pith_short_12: TG4H4XJUXJIB · pith_short_16: TG4H4XJUXJIBOPMN · pith_short_8: TG4H4XJU

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/TG4H4XJUXJIBOPMNGSZYRAI56F \
  | 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: 99b87e5d34ba50173d8d34b388811df177d104c3d5bb1ca9ee0f77c733775c66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0322e1f4b616da44d8ae91ffcfad164a73f2ae227571a19237d9fa62818994d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-20T14:07:32Z",
    "title_canon_sha256": "93fe7f29089ebdc9af4a8c6b7482db45b9d70d25046c6ff1b8ecbbb71c824bfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06602",
    "kind": "arxiv",
    "version": 2
  }
}