Pith Number

pith:FY5DWGTN

pith:2012:FY5DWGTNU6YXIOHTOXCTOBLVGD

not attested not anchored not stored refs pending

On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results

Andreas Nickel, Henri Johnston

arxiv:1210.8298 v5 · 2012-10-31 · 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{FY5DWGTNU6YXIOHTOXCTOBLVGD}

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	2026-05-18T02:30:08.739043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e3a3b1a6da7b17438f375c537057530eb9789ea0b6a10c85710d617be9fbe95

Aliases

arxiv: 1210.8298 · arxiv_version: 1210.8298v5 · doi: 10.48550/arxiv.1210.8298 · pith_short_12: FY5DWGTNU6YX · pith_short_16: FY5DWGTNU6YXIOHT · pith_short_8: FY5DWGTN

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/FY5DWGTNU6YXIOHTOXCTOBLVGD \
  | 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: 2e3a3b1a6da7b17438f375c537057530eb9789ea0b6a10c85710d617be9fbe95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4676bc365f20040103f68b2b4e133c1f20a0b3f1e594d1adc10491219bd5d0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-31T11:26:09Z",
    "title_canon_sha256": "a4ee1298d3e9388ae0704d18726544f2830f71e128c0cf0812dc2d5ae1e85acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8298",
    "kind": "arxiv",
    "version": 5
  }
}