Pith Number

pith:HCJUTWX4

pith:2015:HCJUTWX4MPGGNGWODYWK5Q7T3P

not attested not anchored not stored refs pending

Mean curvature, volume and properness of isometric immersions

Vicente Palmer, Vicent Gimeno

arxiv:1504.00055 v1 · 2015-03-31 · 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{HCJUTWX4MPGGNGWODYWK5Q7T3P}

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	2026-05-18T02:19:49.874889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

389349dafc63cc669ace1e2caec3f3dbd81c27e5eba71c1c71aa67a0f6eb22b6

Aliases

arxiv: 1504.00055 · arxiv_version: 1504.00055v1 · doi: 10.48550/arxiv.1504.00055 · pith_short_12: HCJUTWX4MPGG · pith_short_16: HCJUTWX4MPGGNGWO · pith_short_8: HCJUTWX4

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/HCJUTWX4MPGGNGWODYWK5Q7T3P \
  | 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: 389349dafc63cc669ace1e2caec3f3dbd81c27e5eba71c1c71aa67a0f6eb22b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d37c1d83abfdef2b80494766826d9313beef606c997d2bf5797bbb275c1ab1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-31T21:59:02Z",
    "title_canon_sha256": "b9e4cd2ea2047ad7671ea35cbd3640adbcd6327729e9bc25faf4e65a052a7395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00055",
    "kind": "arxiv",
    "version": 1
  }
}