Pith Number

pith:RE5PAS2W

pith:2009:RE5PAS2WSPLITGV64M7TIYBYUE

not attested not anchored not stored refs pending

A Combination Theorem for Metric Bundles

Mahan Mj, Pranab Sardar

arxiv:0912.2715 v4 · 2009-12-14 · 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{RE5PAS2WSPLITGV64M7TIYBYUE}

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	2026-05-18T03:39:29.627496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

893af04b5693d6899abee33f346038a13b4f4f0ba604e19e99026667115b3e0a

Aliases

arxiv: 0912.2715 · arxiv_version: 0912.2715v4 · doi: 10.48550/arxiv.0912.2715 · pith_short_12: RE5PAS2WSPLI · pith_short_16: RE5PAS2WSPLITGV6 · pith_short_8: RE5PAS2W

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/RE5PAS2WSPLITGV64M7TIYBYUE \
  | 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: 893af04b5693d6899abee33f346038a13b4f4f0ba604e19e99026667115b3e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06a7f4cbd5177f36db2652e30f1d3627b7032dad51ee8b7777ea329612c8668",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-12-14T19:30:14Z",
    "title_canon_sha256": "0af64713cf1a83120a7e458798aa9458828ec81927d9de9f7891bf90d6c79538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2715",
    "kind": "arxiv",
    "version": 4
  }
}