Pith Number

pith:7XEULW6F

pith:2008:7XEULW6FTIEYN4EWWLBYS3N2GX

not attested not anchored not stored refs pending

Note on geodesic rays tamed by simple test configurations

Song Sun

arxiv:0806.2697 v4 · 2008-06-17 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XEULW6FTIEYN4EWWLBYS3N2GX}

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	2026-07-04T16:37:19.612252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdc945dbc59a0986f096b2c3896dba35d901dee561b26e60fb4240a6f9853768

Aliases

arxiv: 0806.2697 · arxiv_version: 0806.2697v4 · doi: 10.48550/arxiv.0806.2697 · pith_short_12: 7XEULW6FTIEY · pith_short_16: 7XEULW6FTIEYN4EW · pith_short_8: 7XEULW6F

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/7XEULW6FTIEYN4EWWLBYS3N2GX \
  | 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: fdc945dbc59a0986f096b2c3896dba35d901dee561b26e60fb4240a6f9853768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb617a671af6f0db5631918f672264d37753df4669b3bf452fd2c5e35c012665",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-06-17T17:55:40Z",
    "title_canon_sha256": "01aa66507f47d8fb344019737ee06005fbb7a4d80b5118c85d11108afd364760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2697",
    "kind": "arxiv",
    "version": 4
  }
}