Pith Number

pith:W7YZM7OJ

pith:2007:W7YZM7OJPY3M6MSS7CJ6RHNXZM

not attested not anchored not stored refs pending

General Connections, Exponential Maps, and Second-order Differential Equations

L. Del Riego, Phillip. E. Parker

arxiv:0711.2549 v3 · 2007-11-16 · 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{W7YZM7OJPY3M6MSS7CJ6RHNXZM}

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	2026-05-18T04:18:33.379055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f1967dc97e36cf3252f893e89db7cb022f437c2e0bbcf1832eeaaa176f2c57

Aliases

arxiv: 0711.2549 · arxiv_version: 0711.2549v3 · doi: 10.48550/arxiv.0711.2549 · pith_short_12: W7YZM7OJPY3M · pith_short_16: W7YZM7OJPY3M6MSS · pith_short_8: W7YZM7OJ

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/W7YZM7OJPY3M6MSS7CJ6RHNXZM \
  | 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: b7f1967dc97e36cf3252f893e89db7cb022f437c2e0bbcf1832eeaaa176f2c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c139416bcd5e1d126f7d5df138d30a42f24e9deeea3cb92fc6219e5d9c4bd8d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-11-16T03:27:21Z",
    "title_canon_sha256": "5c7e52d2109785987f4a81bea41a9892ae9ad5fedce8747fcec6b8ecc975cab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2549",
    "kind": "arxiv",
    "version": 3
  }
}