Pith Number

pith:IGCO2VRH

pith:2007:IGCO2VRHU2PINMN4S4JYX7ICF7

not attested not anchored not stored refs pending

Lifting Measures to Inducing Schemes

Ke Zhang, Samuel Senti, Yakov Pesin

arxiv:0711.0626 v1 · 2007-11-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGCO2VRHU2PINMN4S4JYX7ICF7}

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	2026-05-18T02:56:42.711766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4184ed5627a69e86b1bc97138bfd022ff5a5a73698124b99ab15e2b1529860bf

Aliases

arxiv: 0711.0626 · arxiv_version: 0711.0626v1 · doi: 10.48550/arxiv.0711.0626 · pith_short_12: IGCO2VRHU2PI · pith_short_16: IGCO2VRHU2PINMN4 · pith_short_8: IGCO2VRH

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/IGCO2VRHU2PINMN4S4JYX7ICF7 \
  | 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: 4184ed5627a69e86b1bc97138bfd022ff5a5a73698124b99ab15e2b1529860bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfb65934a8f654644f96c5a95274e41801b1b5e333d49a94ffbe266cd10adcb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-11-05T12:56:29Z",
    "title_canon_sha256": "562fad502c8e11a6c943511befc6faec1a31c082761b735191cc5f6594ec3a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0626",
    "kind": "arxiv",
    "version": 1
  }
}