Pith Number

pith:AZIWGYO5

pith:2011:AZIWGYO5CO42VYF4IS5HX7U3YE

not attested not anchored not stored refs pending

The Area of the Surface Generated by Revolving a Graph About Any Line

Edray Herber Goins, Talitha M. Washington

arxiv:1108.2624 v1 · 2011-08-02 · math.HO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZIWGYO5CO42VYF4IS5HX7U3YE}

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	2026-05-18T04:15:36.486097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06516361dd13b9aae0bc44ba7bfe9bc120de43d2535d727517ce270fde58897e

Aliases

arxiv: 1108.2624 · arxiv_version: 1108.2624v1 · doi: 10.48550/arxiv.1108.2624 · pith_short_12: AZIWGYO5CO42 · pith_short_16: AZIWGYO5CO42VYF4 · pith_short_8: AZIWGYO5

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/AZIWGYO5CO42VYF4IS5HX7U3YE \
  | 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: 06516361dd13b9aae0bc44ba7bfe9bc120de43d2535d727517ce270fde58897e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b9c42f0265e2a7b787c04d3a896a8c64732658644a7b5a8cda2230dc2abd62",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2011-08-02T20:58:28Z",
    "title_canon_sha256": "3e0850ebefc21fd107edde518aacbaced8ce18f359cbd432057d64c2356749c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2624",
    "kind": "arxiv",
    "version": 1
  }
}