Pith Number

pith:FNE52RG5

pith:2011:FNE52RG5KVK6H5WXD5H462OJRC

not attested not anchored not stored refs pending

Lower bounds for ranks of Mumford-Tate groups

Martin Orr

arxiv:1110.6816 v3 · 2011-10-31 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNE52RG5KVK6H5WXD5H462OJRC}

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	2026-05-18T01:16:28.011965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b49dd44dd5555e3f6d71f4fcf69c988bf519eada1e437f1b90b942d51930b05

Aliases

arxiv: 1110.6816 · arxiv_version: 1110.6816v3 · doi: 10.48550/arxiv.1110.6816 · pith_short_12: FNE52RG5KVK6 · pith_short_16: FNE52RG5KVK6H5WX · pith_short_8: FNE52RG5

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/FNE52RG5KVK6H5WXD5H462OJRC \
  | 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: 2b49dd44dd5555e3f6d71f4fcf69c988bf519eada1e437f1b90b942d51930b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cdccfd3c160e38d085db5a13dbbb8691718c4bb3c2b1dcd0409f14bf2414d27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-31T14:58:49Z",
    "title_canon_sha256": "9d4e0e0cdaa5d0b7aad1a5186e20641cc65a4c7fcdb9ec6b2f3d3316729d72cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6816",
    "kind": "arxiv",
    "version": 3
  }
}