Pith Number

pith:I2MPAXBU

pith:2010:I2MPAXBUA6OVT7Y6FMCIG5S766

not attested not anchored not stored refs pending

Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups

Romain Tessera, Yves Cornulier

arxiv:1003.0148 v3 · 2010-02-28 · 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{I2MPAXBUA6OVT7Y6FMCIG5S766}

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	2026-05-18T04:31:11.866496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4698f05c34079d59ff1e2b0483765ff785980273166e1d8b0426138cacd0321d

Aliases

arxiv: 1003.0148 · arxiv_version: 1003.0148v3 · doi: 10.48550/arxiv.1003.0148 · pith_short_12: I2MPAXBUA6OV · pith_short_16: I2MPAXBUA6OVT7Y6 · pith_short_8: I2MPAXBU

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/I2MPAXBUA6OVT7Y6FMCIG5S766 \
  | 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: 4698f05c34079d59ff1e2b0483765ff785980273166e1d8b0426138cacd0321d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c279c84b3a56d8cd32c622d3898e0c3935fce5010f0101f3ecb15f097c1db90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-28T03:29:37Z",
    "title_canon_sha256": "4bb93ab25e4966553d09d7cf309e5f204091142336ce07126e59e1446ea4c2d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0148",
    "kind": "arxiv",
    "version": 3
  }
}