Pith Number

pith:WTSPLMSZ

pith:2005:WTSPLMSZAMPTJTNXDYG57CWEIF

not attested not anchored not stored refs pending

Values of zeta functions at s=1/2

Niranjan Ramachandran

arxiv:math/0502507 v2 · 2005-02-24 · math.NT · 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{WTSPLMSZAMPTJTNXDYG57CWEIF}

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	2026-05-18T01:37:47.780138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e4f5b259031f34cdb71e0ddf8ac4414073c605205bcc1a416ae234e0c4d27e

Aliases

arxiv: math/0502507 · arxiv_version: math/0502507v2 · doi: 10.48550/arxiv.math/0502507 · pith_short_12: WTSPLMSZAMPT · pith_short_16: WTSPLMSZAMPTJTNX · pith_short_8: WTSPLMSZ

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/WTSPLMSZAMPTJTNXDYG57CWEIF \
  | 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: b4e4f5b259031f34cdb71e0ddf8ac4414073c605205bcc1a416ae234e0c4d27e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0122deeac256ed3677fa65b6d4247e1501dd0adb74a4249e6dcc3491c5e22f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-02-24T05:38:15Z",
    "title_canon_sha256": "8497db7b7b99ee6d3a97dc123ad87304d471804c777c276c9c082d3a08195bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502507",
    "kind": "arxiv",
    "version": 2
  }
}