Pith Number

pith:6C5T6XYT

pith:2014:6C5T6XYTHDZPHOFIDQRXHJPX6K

not attested not anchored not stored refs pending

A family of maps with many small fibers

Hannah Alpert, Larry Guth

arxiv:1402.2856 v2 · 2014-02-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6C5T6XYTHDZPHOFIDQRXHJPX6K}

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	2026-05-18T02:54:55.793187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0bb3f5f1338f2f3b8a81c2373a5f7f284e6671a562e0ddccbe6b44e6c986679

Aliases

arxiv: 1402.2856 · arxiv_version: 1402.2856v2 · doi: 10.48550/arxiv.1402.2856 · pith_short_12: 6C5T6XYTHDZP · pith_short_16: 6C5T6XYTHDZPHOFI · pith_short_8: 6C5T6XYT

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/6C5T6XYTHDZPHOFIDQRXHJPX6K \
  | 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: f0bb3f5f1338f2f3b8a81c2373a5f7f284e6671a562e0ddccbe6b44e6c986679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5f6fa1665d5bcd429c82a7b9db0ed4a003acbd4910b1bbca9848aa15b737ce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-12T15:42:14Z",
    "title_canon_sha256": "8a2827e61be726b078e73b0060787b45239690218efbdc12c9c70b1d7fb932ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2856",
    "kind": "arxiv",
    "version": 2
  }
}