Pith Number

pith:LDGF45VE

pith:2006:LDGF45VEZLXVTOK2JM7T6QRPNP

not attested not anchored not stored refs pending

Hilbert modular forms and p-adic Hodge theory

Takeshi Saito

arxiv:math/0612077 v2 · 2006-12-04 · 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{LDGF45VEZLXVTOK2JM7T6QRPNP}

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	2026-05-17T23:53:12.285070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58cc5e76a4caef59b95a4b3f3f422f6bfea8792e04be25eef013cf791f73d3a5

Aliases

arxiv: math/0612077 · arxiv_version: math/0612077v2 · doi: 10.48550/arxiv.math/0612077 · pith_short_12: LDGF45VEZLXV · pith_short_16: LDGF45VEZLXVTOK2 · pith_short_8: LDGF45VE

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/LDGF45VEZLXVTOK2JM7T6QRPNP \
  | 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: 58cc5e76a4caef59b95a4b3f3f422f6bfea8792e04be25eef013cf791f73d3a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0c0874b2bf90b9d12cc5a4802d577719d8abbecfec5d3de77ed9b86c2c435f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-12-04T06:07:55Z",
    "title_canon_sha256": "fc901d1ac698eaa3741c89b5d3d7b80b1fa1ccfad95c661d72a4174a6e0b8490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612077",
    "kind": "arxiv",
    "version": 2
  }
}