Pith Number

pith:HUDXNRKW

pith:2016:HUDXNRKW3Q7YROAYYXERHYP65P

not attested not anchored not stored refs pending

Morse theory for the uniform energy

Ian Adelstein, Jonathan Epstein

arxiv:1609.09357 v2 · 2016-09-29 · 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{HUDXNRKW3Q7YROAYYXERHYP65P}

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	2026-05-18T00:35:18.506029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d0776c556dc3f88b818c5c913e1feebd1727bf85a313e788f7679c23d048030

Aliases

arxiv: 1609.09357 · arxiv_version: 1609.09357v2 · doi: 10.48550/arxiv.1609.09357 · pith_short_12: HUDXNRKW3Q7Y · pith_short_16: HUDXNRKW3Q7YROAY · pith_short_8: HUDXNRKW

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/HUDXNRKW3Q7YROAYYXERHYP65P \
  | 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: 3d0776c556dc3f88b818c5c913e1feebd1727bf85a313e788f7679c23d048030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ef3ff2aa88524ebf274aafac8d1dee78441af857838bfd76b623e27bd61874",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-29T14:22:00Z",
    "title_canon_sha256": "19871fdd849a9b8e2bde0a5da095d86933132ad58c39046423f888ad302be520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09357",
    "kind": "arxiv",
    "version": 2
  }
}