Pith Number

pith:F3HJ3REH

pith:2006:F3HJ3REHHPKRMZOAZQU3B2QXUQ

not attested not anchored not stored refs pending

Simplicity and superrigidity of twin building lattices

Bertrand Remy (ICJ), Pierre-Emmanuel Caprace

arxiv:math/0607664 v2 · 2006-07-26 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3HJ3REHHPKRMZOAZQU3B2QXUQ}

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	2026-05-18T03:44:05.267446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ece9dc4873bd51665c0cc29b0ea17a4183816ef1f8dfac29110c57a006a267b

Aliases

arxiv: math/0607664 · arxiv_version: math/0607664v2 · doi: 10.48550/arxiv.math/0607664 · pith_short_12: F3HJ3REHHPKR · pith_short_16: F3HJ3REHHPKRMZOA · pith_short_8: F3HJ3REH

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/F3HJ3REHHPKRMZOAZQU3B2QXUQ \
  | 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: 2ece9dc4873bd51665c0cc29b0ea17a4183816ef1f8dfac29110c57a006a267b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa160065023f6763adac1433e4284f8cf792aeb3be0562d999f69dcdaf2627f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-07-26T11:22:01Z",
    "title_canon_sha256": "695816231ae8e2b2af28dc72a44845856d95e3b59ec134afe30461b1a9a24768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607664",
    "kind": "arxiv",
    "version": 2
  }
}