Pith Number

pith:IVTN5TQH

pith:2008:IVTN5TQHX2NK3P57CMQGM3HZPD

not attested not anchored not stored refs pending

Combinatorics and topology of straightening maps I: compactness and bijectivity

Hiroyuki Inou, Jan Kiwi

arxiv:0809.1262 v2 · 2008-09-08 · 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{IVTN5TQHX2NK3P57CMQGM3HZPD}

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	2026-05-18T03:52:51.834043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4566dece07be9aadbfbf1320666cf978dd16b231cc7120a5debd65500b62cb45

Aliases

arxiv: 0809.1262 · arxiv_version: 0809.1262v2 · doi: 10.48550/arxiv.0809.1262 · pith_short_12: IVTN5TQHX2NK · pith_short_16: IVTN5TQHX2NK3P57 · pith_short_8: IVTN5TQH

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/IVTN5TQHX2NK3P57CMQGM3HZPD \
  | 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: 4566dece07be9aadbfbf1320666cf978dd16b231cc7120a5debd65500b62cb45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57d896230ed73673a319b9926423ea639afadd058872ba11fafebbbdd6f4edeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-09-08T01:13:41Z",
    "title_canon_sha256": "fbb9e98bb6d0de3d38d53e59e2ce84a57b7c7dc7938711aac45b1e952c6eafad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1262",
    "kind": "arxiv",
    "version": 2
  }
}