Pith Number

pith:4TGNTSDI

pith:2012:4TGNTSDIMGVCMQJJ3LXOHQYXTQ

not attested not anchored not stored refs pending

Two Embedding Theorems for Data with Equivalences under Finite Group Action

Fabian Lim

arxiv:1207.6986 v2 · 2012-07-30 · cs.DS · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TGNTSDIMGVCMQJJ3LXOHQYXTQ}

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	2026-05-18T03:43:17.953012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ccd9c86861aa264129daeee3c3179c3cd809635477be9af70354d97634b168

Aliases

arxiv: 1207.6986 · arxiv_version: 1207.6986v2 · doi: 10.48550/arxiv.1207.6986 · pith_short_12: 4TGNTSDIMGVC · pith_short_16: 4TGNTSDIMGVCMQJJ · pith_short_8: 4TGNTSDI

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/4TGNTSDIMGVCMQJJ3LXOHQYXTQ \
  | 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: e4ccd9c86861aa264129daeee3c3179c3cd809635477be9af70354d97634b168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431b313766cd1cfbf61dabf845933af18931b89ce4b5f22fe1d56ca0bded13dd",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-07-30T16:15:22Z",
    "title_canon_sha256": "faec5870cfd088ce3e0be497206cc4d1ef43ff9cb86b711ea8e65250b8d13209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6986",
    "kind": "arxiv",
    "version": 2
  }
}