Pith Number

pith:J53Q7TXI

pith:2015:J53Q7TXIW2CJPDHDQZUI7DAOM4

not attested not anchored not stored refs pending

A Hopf theorem for non-constant mean curvature and a conjecture of A.D. Alexandrov

Jose A. Galvez, Pablo Mira

arxiv:1504.07419 v1 · 2015-04-28 · 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{J53Q7TXIW2CJPDHDQZUI7DAOM4}

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	2026-05-18T02:17:34.799424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f770fcee8b684978ce386688f8c0e673ecb537cb28b857020a70e398f77cd08

Aliases

arxiv: 1504.07419 · arxiv_version: 1504.07419v1 · doi: 10.48550/arxiv.1504.07419 · pith_short_12: J53Q7TXIW2CJ · pith_short_16: J53Q7TXIW2CJPDHD · pith_short_8: J53Q7TXI

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/J53Q7TXIW2CJPDHDQZUI7DAOM4 \
  | 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: 4f770fcee8b684978ce386688f8c0e673ecb537cb28b857020a70e398f77cd08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1dc538dc68fce6707b716bafc8691752c1b100a70bcdab8e0b86fcee8dc407e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-28T10:50:37Z",
    "title_canon_sha256": "0678838f27d3f8297c505e976b0fc66fca052c36a6c8d7f3d72ad10e84d31a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07419",
    "kind": "arxiv",
    "version": 1
  }
}