Pith Number

pith:T44P6F52

pith:2026:T44P6F52GVOXLOY5GGS6H3KAHV

not attested not anchored not stored refs pending

A note on the stability of surfaces along null cones under area-preserving variations

Markus Wolff

arxiv:2607.09325 v1 · 2026-07-10 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T44P6F52GVOXLOY5GGS6H3KAHV}

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	2026-07-13T01:19:02.573495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f38ff17ba355d75bb1d31a5e3ed403d47ce14e4aae488dcba9590288617c31e

Aliases

arxiv: 2607.09325 · arxiv_version: 2607.09325v1 · doi: 10.48550/arxiv.2607.09325 · pith_short_12: T44P6F52GVOX · pith_short_16: T44P6F52GVOXLOY5 · pith_short_8: T44P6F52

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/T44P6F52GVOXLOY5GGS6H3KAHV \
  | 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: 9f38ff17ba355d75bb1d31a5e3ed403d47ce14e4aae488dcba9590288617c31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2db87ef371c590ca46511d173c137a083064aff0f0f8a38e69660834384518a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-10T12:06:25Z",
    "title_canon_sha256": "9dfb364e39ed6b08561995eb279a573b23c9d13ad84d7a96372f0830a1fcf71a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09325",
    "kind": "arxiv",
    "version": 1
  }
}