Pith Number

pith:CO4BCPPR

pith:2015:CO4BCPPRS5PS6ZR4TZGNAP23EX

not attested not anchored not stored refs pending

Plateau's Problem: What's Next

Harrison Pugh, Jenny Harrison

arxiv:1509.03797 v2 · 2015-09-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CO4BCPPRS5PS6ZR4TZGNAP23EX}

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	2026-05-18T01:15:52.482721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b8113df1975f2f663c9e4cd03f5b25d86549b67d6f8179ad5cafac949a7de1

Aliases

arxiv: 1509.03797 · arxiv_version: 1509.03797v2 · doi: 10.48550/arxiv.1509.03797 · pith_short_12: CO4BCPPRS5PS · pith_short_16: CO4BCPPRS5PS6ZR4 · pith_short_8: CO4BCPPR

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/CO4BCPPRS5PS6ZR4TZGNAP23EX \
  | 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: 13b8113df1975f2f663c9e4cd03f5b25d86549b67d6f8179ad5cafac949a7de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1a2bce1ef1764600c7178d22a314dc459c7dee4de230092860fdf68f56ea59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-13T03:01:17Z",
    "title_canon_sha256": "84345e1eb8cafcaa7bc5a4b7b08219a69c9b07b8c939955f96856333bd980ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03797",
    "kind": "arxiv",
    "version": 2
  }
}