Pith Number

pith:EXE7JG7I

pith:2011:EXE7JG7ILLAQ2VM7JNUDHMBBM7

not attested not anchored not stored refs pending

Extremal problems for the solid angle

Shigehiro Sakata

arxiv:1103.1727 v2 · 2011-03-09 · 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{EXE7JG7ILLAQ2VM7JNUDHMBBM7}

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	2026-05-18T04:19:41.013853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c9f49be85ac10d559f4b6833b02167c68b46e18a151b244f3324e27114d5bd

Aliases

arxiv: 1103.1727 · arxiv_version: 1103.1727v2 · doi: 10.48550/arxiv.1103.1727 · pith_short_12: EXE7JG7ILLAQ · pith_short_16: EXE7JG7ILLAQ2VM7 · pith_short_8: EXE7JG7I

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/EXE7JG7ILLAQ2VM7JNUDHMBBM7 \
  | 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: 25c9f49be85ac10d559f4b6833b02167c68b46e18a151b244f3324e27114d5bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a0743c4e1be2f658d47bc1827c67d2f93c7a1468b4529a0b3d77f336a4b177a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-09T08:08:01Z",
    "title_canon_sha256": "2c2e6f4c5cf69f9637c456f847888c1bf06b435fc4deba3661d106fc98776580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1727",
    "kind": "arxiv",
    "version": 2
  }
}