Pith Number

pith:3WPTUDCF

pith:2009:3WPTUDCFX63MFG5F3JWIBWI7UR

not attested not anchored not stored refs pending

A cohomological Tamagawa number formula

Annette Huber, Guido Kings

arxiv:0908.0996 v2 · 2009-08-07 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WPTUDCFX63MFG5F3JWIBWI7UR}

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	2026-05-18T02:29:02.825190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9f3a0c45bfb6c29ba5da6c80d91fa47b3ff364ca2c2c0ba51671058ab0bd12

Aliases

arxiv: 0908.0996 · arxiv_version: 0908.0996v2 · doi: 10.48550/arxiv.0908.0996 · pith_short_12: 3WPTUDCFX63M · pith_short_16: 3WPTUDCFX63MFG5F · pith_short_8: 3WPTUDCF

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/3WPTUDCFX63MFG5F3JWIBWI7UR \
  | 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: dd9f3a0c45bfb6c29ba5da6c80d91fa47b3ff364ca2c2c0ba51671058ab0bd12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa7ccbd8295f53128a5a291b92e0e6d67e97495f730dbfb1eac510aeaaab5e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-07T07:35:05Z",
    "title_canon_sha256": "ed784ac86e19ded5d2495d0401ade5ecc56f53a39143da6a6ed1c6ecc181cf8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0996",
    "kind": "arxiv",
    "version": 2
  }
}