Pith Number

pith:F3UJUMTM

pith:2008:F3UJUMTMCK5DQFFWDRSJAMRBKT

not attested not anchored not stored refs pending

Forgetful maps between Deligne-Mostow ball quotients

Martin Deraux (IF)

arxiv:0811.4286 v2 · 2008-11-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3UJUMTMCK5DQFFWDRSJAMRBKT}

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	2026-05-18T04:24:35.415867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee89a326c12ba3814b61c6490322154ed0b8f78d9179be3a5dc0a70e335f2ee

Aliases

arxiv: 0811.4286 · arxiv_version: 0811.4286v2 · doi: 10.48550/arxiv.0811.4286 · pith_short_12: F3UJUMTMCK5D · pith_short_16: F3UJUMTMCK5DQFFW · pith_short_8: F3UJUMTM

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/F3UJUMTMCK5DQFFWDRSJAMRBKT \
  | 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: 2ee89a326c12ba3814b61c6490322154ed0b8f78d9179be3a5dc0a70e335f2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d58c367e4c12f2496eeac26708bb5753dfbb86804a9333b64677c54e6b9fd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-11-26T12:37:46Z",
    "title_canon_sha256": "acb192e5a5a9d415e3c0693d5f54bc60d6dd1ee1a5e06ed7b0c8d96167be995c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4286",
    "kind": "arxiv",
    "version": 2
  }
}