Pith Number

pith:YJAQVEBD

pith:2026:YJAQVEBDZXS3Q4RQHOPLNXJMKK

not attested not anchored not stored refs pending

The entropy-degree theorem for Alexandrov spaces

P. Su\'arez-Serrato

arxiv:2606.30403 v1 · 2026-06-29 · math.DG · 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{YJAQVEBDZXS3Q4RQHOPLNXJMKK}

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	2026-06-30T02:18:13.904063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2410a9023cde5b872303b9eb6dd2c52ac2ebaee22ca77cb4063db84e8655b6b

Aliases

arxiv: 2606.30403 · arxiv_version: 2606.30403v1 · doi: 10.48550/arxiv.2606.30403 · pith_short_12: YJAQVEBDZXS3 · pith_short_16: YJAQVEBDZXS3Q4RQ · pith_short_8: YJAQVEBD

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/YJAQVEBDZXS3Q4RQHOPLNXJMKK \
  | 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: c2410a9023cde5b872303b9eb6dd2c52ac2ebaee22ca77cb4063db84e8655b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4991f657c924d1621d2291831d70372510284ab61361a7b2460044d547ae45a3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-29T14:50:45Z",
    "title_canon_sha256": "92026b263cb5df1f295ec26d7f74c192a796ced782e7a0b97002de44d9147236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30403",
    "kind": "arxiv",
    "version": 1
  }
}