Pith Number

pith:QYCAATZN

pith:2015:QYCAATZNCYVOIG3XUYSYGENV5Y

not attested not anchored not stored refs pending

Legendrian curve shortening flow in $\mathbb{R}^{3}$

Gregory Drugan, Micah W. Warren, Weiyong He

arxiv:1508.01186 v1 · 2015-08-05 · 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{QYCAATZNCYVOIG3XUYSYGENV5Y}

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	2026-05-18T01:35:43.896237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8604004f2d162ae41b77a6258311b5ee062dbad78c59baa2ff046777a86bd1dd

Aliases

arxiv: 1508.01186 · arxiv_version: 1508.01186v1 · doi: 10.48550/arxiv.1508.01186 · pith_short_12: QYCAATZNCYVO · pith_short_16: QYCAATZNCYVOIG3X · pith_short_8: QYCAATZN

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/QYCAATZNCYVOIG3XUYSYGENV5Y \
  | 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: 8604004f2d162ae41b77a6258311b5ee062dbad78c59baa2ff046777a86bd1dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a0bb0716a6734a52e116a0f2a44a7df906f124aee17b0baa4e5fe355e13867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-05T19:21:58Z",
    "title_canon_sha256": "b51b6f9cea02431f1f55b7f6b4527d2c7e55c44f8c5cf9e043fc8f30677ef14f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01186",
    "kind": "arxiv",
    "version": 1
  }
}