Pith Number

pith:DA3NXLBJ

pith:2013:DA3NXLBJ2TRET3MDXZMOLI777E

not attested not anchored not stored refs pending

Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts

Kentaro Saji, Kotaro Yamada, Luciana F. Martins, Masaaki Umehara

arxiv:1308.2136 v6 · 2013-08-09 · 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{DA3NXLBJ2TRET3MDXZMOLI777E}

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	2026-05-18T01:31:12.006712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1836dbac29d4e249ed83be58e5a3fff914f90623094214580cc4aa386eda66b4

Aliases

arxiv: 1308.2136 · arxiv_version: 1308.2136v6 · doi: 10.48550/arxiv.1308.2136 · pith_short_12: DA3NXLBJ2TRE · pith_short_16: DA3NXLBJ2TRET3MD · pith_short_8: DA3NXLBJ

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/DA3NXLBJ2TRET3MDXZMOLI777E \
  | 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: 1836dbac29d4e249ed83be58e5a3fff914f90623094214580cc4aa386eda66b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b5e34b76ddb504fa198047c27bcb71291c7a4b0ff241a1eb7fe1bf2b49eecda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-09T14:31:30Z",
    "title_canon_sha256": "83134e3389e77933c6b6fe2c5ca369194f19b56b5ba6ebe458f1fa7dcd7125a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2136",
    "kind": "arxiv",
    "version": 6
  }
}