Pith Number

pith:LLPWRTJN

pith:2016:LLPWRTJNOGG3VR52UZJRSV3RH3

not attested not anchored not stored refs pending

Torsion in the 0-cycle group with modulus

Amalendu Krishna

arxiv:1607.01493 v2 · 2016-07-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLPWRTJNOGG3VR52UZJRSV3RH3}

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	2026-05-18T00:23:14.519430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5adf68cd2d718dbac7baa6531957713ee52a1384995710cf4df4da5ee4c54516

Aliases

arxiv: 1607.01493 · arxiv_version: 1607.01493v2 · doi: 10.48550/arxiv.1607.01493 · pith_short_12: LLPWRTJNOGG3 · pith_short_16: LLPWRTJNOGG3VR52 · pith_short_8: LLPWRTJN

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/LLPWRTJNOGG3VR52UZJRSV3RH3 \
  | 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: 5adf68cd2d718dbac7baa6531957713ee52a1384995710cf4df4da5ee4c54516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0227f21b9555031fd3a8fff4fc4f345f3d1d364ca34f11697d22653e528d403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-06T07:01:07Z",
    "title_canon_sha256": "601419afc311dcad35185c85059be48ef79c62fa7b0ab8abb71168e87ad3d94f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01493",
    "kind": "arxiv",
    "version": 2
  }
}