Pith Number

pith:PFUHPHTB

pith:2015:PFUHPHTBROGEKNWH6J3DE7DTN3

not attested not anchored not stored refs pending

Local geometry of the k-curve graph

Tarik Aougab

arxiv:1508.00502 v4 · 2015-08-03 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFUHPHTBROGEKNWH6J3DE7DTN3}

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	2026-05-18T01:26:57.361089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7968779e618b8c4536c7f276327c736ee946c872ca019edfe0fca76734367f2b

Aliases

arxiv: 1508.00502 · arxiv_version: 1508.00502v4 · doi: 10.48550/arxiv.1508.00502 · pith_short_12: PFUHPHTBROGE · pith_short_16: PFUHPHTBROGEKNWH · pith_short_8: PFUHPHTB

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/PFUHPHTBROGEKNWH6J3DE7DTN3 \
  | 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: 7968779e618b8c4536c7f276327c736ee946c872ca019edfe0fca76734367f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c87bea02a2b5f139491f49ef92e578673947abab3997b4684b6c389ffb8d0f4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-03T17:42:29Z",
    "title_canon_sha256": "2e004aa2cc0fb26d4ca37ac924d0b08324ce1f0e7d63fcc096a9238c0ff81fa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00502",
    "kind": "arxiv",
    "version": 4
  }
}