Pith Number

pith:56UHTST6

pith:2012:56UHTST64IBTO552FKDMF6DXPJ

not attested not anchored not stored refs pending

The rigid syntomic ring spectrum

Fr\'ed\'eric D\'eglise, Nicola Mazzari

arxiv:1211.5065 v2 · 2012-11-21 · math.KT · 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{56UHTST64IBTO552FKDMF6DXPJ}

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	2026-05-18T01:33:07.097068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa879ca7ee2033777ba2a86c2f8777a7ddcac43753ba3419a9e75599b4498dd

Aliases

arxiv: 1211.5065 · arxiv_version: 1211.5065v2 · doi: 10.48550/arxiv.1211.5065 · pith_short_12: 56UHTST64IBT · pith_short_16: 56UHTST64IBTO552 · pith_short_8: 56UHTST6

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/56UHTST64IBTO552FKDMF6DXPJ \
  | 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: efa879ca7ee2033777ba2a86c2f8777a7ddcac43753ba3419a9e75599b4498dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369072948c4b85affb1d7ce4fccd489714ea16713c32942103df671ed8be99ed",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-11-21T15:46:16Z",
    "title_canon_sha256": "d2147e69ee31f8255c01844c12480fdaf402d63932dbee7d4c68defdc081553d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5065",
    "kind": "arxiv",
    "version": 2
  }
}