Pith Number

pith:6H7XRIJR

pith:2009:6H7XRIJRG63Z3RYSD2GXQSPVMX

not attested not anchored not stored refs pending

Combinatorics and topology of straightening maps II: Discontinuity

Hiroyuki Inou

arxiv:0903.4289 v4 · 2009-03-25 · 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{6H7XRIJRG63Z3RYSD2GXQSPVMX}

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	2026-05-18T00:14:35.117679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1ff78a13137b79dc7121e8d7849f565c4c5406f3dfccc922db7c07409563ec9

Aliases

arxiv: 0903.4289 · arxiv_version: 0903.4289v4 · doi: 10.48550/arxiv.0903.4289 · pith_short_12: 6H7XRIJRG63Z · pith_short_16: 6H7XRIJRG63Z3RYS · pith_short_8: 6H7XRIJR

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/6H7XRIJRG63Z3RYSD2GXQSPVMX \
  | 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: f1ff78a13137b79dc7121e8d7849f565c4c5406f3dfccc922db7c07409563ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be878778adba830f1059d84597d0daa65edd31cd03dd387df2ffa9de0490b10e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-03-25T10:34:07Z",
    "title_canon_sha256": "86c24f8b8b228571bff93aeccf35461543a0ffa8ddcb3fefe3fecfd58dbc6f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4289",
    "kind": "arxiv",
    "version": 4
  }
}