Pith Number

pith:KPJX7XLM

pith:2014:KPJX7XLMBCD4ZRCR6EXOUJDSAQ

not attested not anchored not stored refs pending

The theory of graph-like Legendrian unfoldings and its applications

Shyuichi Izumiya

arxiv:1410.8678 v1 · 2014-10-31 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPJX7XLMBCD4ZRCR6EXOUJDSAQ}

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	2026-05-18T02:38:53.952584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d37fdd6c0887ccc451f12eea2472042a362030c61c76ad860fcb12309962f7

Aliases

arxiv: 1410.8678 · arxiv_version: 1410.8678v1 · doi: 10.48550/arxiv.1410.8678 · pith_short_12: KPJX7XLMBCD4 · pith_short_16: KPJX7XLMBCD4ZRCR · pith_short_8: KPJX7XLM

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/KPJX7XLMBCD4ZRCR6EXOUJDSAQ \
  | 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: 53d37fdd6c0887ccc451f12eea2472042a362030c61c76ad860fcb12309962f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "041520eb2181259663f276af0bdc26f2047639d261bca462d0f1a4695dfa4424",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-31T09:06:54Z",
    "title_canon_sha256": "6b7227904176b851547688e8f6596be5baf8868e909dc7aef93d681104458933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8678",
    "kind": "arxiv",
    "version": 1
  }
}