Pith Number

pith:VSA5XQXO

pith:2007:VSA5XQXOYEX6MW66KICR5WZ5LX

not attested not anchored not stored refs pending

Noncompact Shrinking 4-Solitons with Nonnegative Curvature

Aaron Naber

arxiv:0710.5579 v3 · 2007-10-30 · 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{VSA5XQXOYEX6MW66KICR5WZ5LX}

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	2026-05-18T04:13:55.441378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac81dbc2eec12fe65bde52051edb3d5de274e25cead6fe6ac7fcf591a290a989

Aliases

arxiv: 0710.5579 · arxiv_version: 0710.5579v3 · doi: 10.48550/arxiv.0710.5579 · pith_short_12: VSA5XQXOYEX6 · pith_short_16: VSA5XQXOYEX6MW66 · pith_short_8: VSA5XQXO

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/VSA5XQXOYEX6MW66KICR5WZ5LX \
  | 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: ac81dbc2eec12fe65bde52051edb3d5de274e25cead6fe6ac7fcf591a290a989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45f9716835c312f99948507fede44ead2feb453abb9d85362d055c72fab3ed4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-30T07:12:30Z",
    "title_canon_sha256": "5c6bc0d1d71d65a6e12740020eaa4cb55d1c988ec2495a04551d13e2dc1b1215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5579",
    "kind": "arxiv",
    "version": 3
  }
}