Pith Number

pith:GRCMPAMV

pith:2014:GRCMPAMV6SBBQBLZVKUFYRE5NK

not attested not anchored not stored refs pending

Proof of the main conjecture on g-areas

Egor Shelukhin, Fran\c{c}ois Lalonde

arxiv:1411.1452 v1 · 2014-11-06 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRCMPAMV6SBBQBLZVKUFYRE5NK}

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	2026-05-18T02:38:27.907021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3444c78195f482180579aaa85c449d6ab66c3960070d3ef87086a3929f8cf4c4

Aliases

arxiv: 1411.1452 · arxiv_version: 1411.1452v1 · doi: 10.48550/arxiv.1411.1452 · pith_short_12: GRCMPAMV6SBB · pith_short_16: GRCMPAMV6SBBQBLZ · pith_short_8: GRCMPAMV

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/GRCMPAMV6SBBQBLZVKUFYRE5NK \
  | 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: 3444c78195f482180579aaa85c449d6ab66c3960070d3ef87086a3929f8cf4c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e4428eb13ac4ddd9e053dd6367ef999c740f47540763db38d388d25fd9c437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-11-06T00:01:38Z",
    "title_canon_sha256": "05f07194488eae70e529a4553a10ba056be55783bbb600e7a54fb1cdfd4832a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1452",
    "kind": "arxiv",
    "version": 1
  }
}