Pith Number

pith:6CKFEX6M

pith:2011:6CKFEX6MSJ3FJVGICYCCKVM2XW

not attested not anchored not stored refs pending

Theta lifting and cohomology growth in p-adic towers

Mathieu Cossutta, Simon Marshall

arxiv:1106.2765 v3 · 2011-06-14 · 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{6CKFEX6MSJ3FJVGICYCCKVM2XW}

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	2026-05-18T04:10:36.409176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f094525fcc927654d4c8160425559abd8a0375d01c970ee467004adf5860099f

Aliases

arxiv: 1106.2765 · arxiv_version: 1106.2765v3 · doi: 10.48550/arxiv.1106.2765 · pith_short_12: 6CKFEX6MSJ3F · pith_short_16: 6CKFEX6MSJ3FJVGI · pith_short_8: 6CKFEX6M

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/6CKFEX6MSJ3FJVGICYCCKVM2XW \
  | 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: f094525fcc927654d4c8160425559abd8a0375d01c970ee467004adf5860099f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0be6d1824867921d31ec6a172714d282797802a3e8bdab0f0af6ab2b23dbb2eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-14T17:10:01Z",
    "title_canon_sha256": "a48d8df55270b36fd06b5b5c5ab03e533f796cb0b9bbcef4a15cb14816ff9e97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2765",
    "kind": "arxiv",
    "version": 3
  }
}