Pith Number

pith:RJDADFTY

pith:2006:RJDADFTYJ74JDLQE4AD6QPMXUX

not attested not anchored not stored refs pending

On anticyclotomic mu-invariants of modular forms

Robert Pollack, Tom Weston

arxiv:math/0610694 v1 · 2006-10-23 · 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{RJDADFTYJ74JDLQE4AD6QPMXUX}

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	2026-05-17T23:53:12.293089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a460196784ff891ae04e007e83d97a5ef0c18d55e0ed97e1480abc21898bea3

Aliases

arxiv: math/0610694 · arxiv_version: math/0610694v1 · doi: 10.48550/arxiv.math/0610694 · pith_short_12: RJDADFTYJ74J · pith_short_16: RJDADFTYJ74JDLQE · pith_short_8: RJDADFTY

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/RJDADFTYJ74JDLQE4AD6QPMXUX \
  | 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: 8a460196784ff891ae04e007e83d97a5ef0c18d55e0ed97e1480abc21898bea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f6f1b79292874cb76f4390fb91f771504031fda339d5d59a98c1e250b3ac8e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-10-23T18:32:53Z",
    "title_canon_sha256": "21d351c2db36ff7be15fb79b95a3afaf722740eba8a25a5ea67cd2a81c597db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610694",
    "kind": "arxiv",
    "version": 1
  }
}