Pith Number

pith:2TBAX5HW

pith:2013:2TBAX5HWCEMUHSVQM7UVQUMTQ7

not attested not anchored not stored refs pending

Around groups in Hilbert Geometry

Ludovic Marquis (IRMAR)

arxiv:1303.7099 v2 · 2013-03-28 · math.GT · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TBAX5HWCEMUHSVQM7UVQUMTQ7}

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	2026-05-18T02:53:41.499194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4c20bf4f6111943cab067e958519387e7a07a49056e6bb865aea8fb07941fc3

Aliases

arxiv: 1303.7099 · arxiv_version: 1303.7099v2 · doi: 10.48550/arxiv.1303.7099 · pith_short_12: 2TBAX5HWCEMU · pith_short_16: 2TBAX5HWCEMUHSVQ · pith_short_8: 2TBAX5HW

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/2TBAX5HWCEMUHSVQM7UVQUMTQ7 \
  | 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: d4c20bf4f6111943cab067e958519387e7a07a49056e6bb865aea8fb07941fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ee134816cb02674747f4b33907ac3ab545f4f405f99a0932bcf56023b2af3c",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-28T11:16:57Z",
    "title_canon_sha256": "a8a09be043ea39a441fd7739fe38d3c97135465c90b90a6244914616c822559e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7099",
    "kind": "arxiv",
    "version": 2
  }
}