Pith Number

pith:P2JB7LT5

pith:2015:P2JB7LT5UC2BDH66B6AHRP5NY7

not attested not anchored not stored refs pending

A rigidity problem on the round sphere

Giulio Ciraolo, Luigi Vezzoni

arxiv:1512.07749 v1 · 2015-12-24 · math.AP · 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{P2JB7LT5UC2BDH66B6AHRP5NY7}

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	2026-05-18T01:01:00.430265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e921fae7da0b4119fde0f8078bfadc7c203f7904503ab7460f853b966aa3fac

Aliases

arxiv: 1512.07749 · arxiv_version: 1512.07749v1 · doi: 10.48550/arxiv.1512.07749 · pith_short_12: P2JB7LT5UC2B · pith_short_16: P2JB7LT5UC2BDH66 · pith_short_8: P2JB7LT5

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/P2JB7LT5UC2BDH66B6AHRP5NY7 \
  | 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: 7e921fae7da0b4119fde0f8078bfadc7c203f7904503ab7460f853b966aa3fac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "677035d8d8565fe407aeb3adc6a9dabaf0566ed9e0bab299c08fea6607cfd204",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-24T08:24:29Z",
    "title_canon_sha256": "0d102e0d929ee66f7be0e4051cb4b594b333a31db2ef3e7d06f84871012c5421"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07749",
    "kind": "arxiv",
    "version": 1
  }
}