Pith Number

pith:NRFM3J2X

pith:2014:NRFM3J2XWXZJ3J5A2GHODYPLEQ

not attested not anchored not stored refs pending

Stratified convexity & concavity of gradient flows on manifolds with boundary

Gabriel Katz

arxiv:1406.6907 v1 · 2014-06-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRFM3J2XWXZJ3J5A2GHODYPLEQ}

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	2026-05-18T02:48:55.532690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c4acda757b5f29da7a0d18ee1e1eb241ad4d7632c4dbc9e21f3b10939dc67c2

Aliases

arxiv: 1406.6907 · arxiv_version: 1406.6907v1 · doi: 10.48550/arxiv.1406.6907 · pith_short_12: NRFM3J2XWXZJ · pith_short_16: NRFM3J2XWXZJ3J5A · pith_short_8: NRFM3J2X

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/NRFM3J2XWXZJ3J5A2GHODYPLEQ \
  | 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: 6c4acda757b5f29da7a0d18ee1e1eb241ad4d7632c4dbc9e21f3b10939dc67c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7a1d7e029fd2fdec0a525913cc35d5978995396ddab2f386dcdbd74fc20242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-06-26T15:01:13Z",
    "title_canon_sha256": "1e075160cf68128c0053416ac896c5e24ad37df2680a6c0be87ccc9de52c8fad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6907",
    "kind": "arxiv",
    "version": 1
  }
}