Pith Number

pith:PTETGO2Q

pith:2014:PTETGO2QIF5NTV3QAUAWPQE63Y

not attested not anchored not stored refs pending

A geometric proof of the existence of definable Whitney stratifications

David Trotman, Nhan Nguyen, Saurabh Trivedi

arxiv:1404.1218 v1 · 2014-04-04 · 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{PTETGO2QIF5NTV3QAUAWPQE63Y}

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	2026-05-18T02:54:47.917364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc9333b50417ad9d770050167c09ede0474baf585a0006f23d82fe4527f262a

Aliases

arxiv: 1404.1218 · arxiv_version: 1404.1218v1 · doi: 10.48550/arxiv.1404.1218 · pith_short_12: PTETGO2QIF5N · pith_short_16: PTETGO2QIF5NTV3Q · pith_short_8: PTETGO2Q

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/PTETGO2QIF5NTV3QAUAWPQE63Y \
  | 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: 7cc9333b50417ad9d770050167c09ede0474baf585a0006f23d82fe4527f262a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c72b429627c609867f816889c0271ef6ca6d2ee63c5594b6b9ed784a13c907b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-04T11:36:07Z",
    "title_canon_sha256": "126eea196606c95ca1f89250c9701c934b21ea23af5390164d3629c33f30d5c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1218",
    "kind": "arxiv",
    "version": 1
  }
}