Pith Number

pith:LHHRLXOW

pith:2014:LHHRLXOWS4NHI7SABMK5DQKMME

not attested not anchored not stored refs pending

Zeta functions, Grothendieck groups, and the Witt ring

Niranjan Ramachandran

arxiv:1407.1813 v2 · 2014-07-07 · math.NT · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHHRLXOWS4NHI7SABMK5DQKMME}

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	2026-05-18T01:32:50.796860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59cf15ddd6971a747e400b15d1c14c612ea87847ff34f4dde278c3a6cd810016

Aliases

arxiv: 1407.1813 · arxiv_version: 1407.1813v2 · doi: 10.48550/arxiv.1407.1813 · pith_short_12: LHHRLXOWS4NH · pith_short_16: LHHRLXOWS4NHI7SA · pith_short_8: LHHRLXOW

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/LHHRLXOWS4NHI7SABMK5DQKMME \
  | 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: 59cf15ddd6971a747e400b15d1c14c612ea87847ff34f4dde278c3a6cd810016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "833c7e242d5189b6914cb683c478b9b01c2d9ead2ab92bde4dbadadff0f893d3",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-07T19:22:17Z",
    "title_canon_sha256": "b97c92447486cae2c94dcb6edc744e949d342cf05b5767293c37515c6a297749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1813",
    "kind": "arxiv",
    "version": 2
  }
}