Pith Number

pith:74RRUAPM

pith:2010:74RRUAPMOFPOSZ4ZTSGSDGMCKR

not attested not anchored not stored refs pending

Degree Theory of Immersed Hypersurfaces

Graham Smith, Harold Rosenberg

arxiv:1010.1879 v3 · 2010-10-09 · 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{74RRUAPMOFPOSZ4ZTSGSDGMCKR}

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	2026-05-18T01:02:57.458120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff231a01ec715ee967999c8d219982546d39495a1b492aa69245d0ae6dda6748

Aliases

arxiv: 1010.1879 · arxiv_version: 1010.1879v3 · doi: 10.48550/arxiv.1010.1879 · pith_short_12: 74RRUAPMOFPO · pith_short_16: 74RRUAPMOFPOSZ4Z · pith_short_8: 74RRUAPM

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/74RRUAPMOFPOSZ4ZTSGSDGMCKR \
  | 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: ff231a01ec715ee967999c8d219982546d39495a1b492aa69245d0ae6dda6748

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc06c39d32fae98dc40ee3f99d5581e71833668eee406a6e6a328159a274fe46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-09T23:15:18Z",
    "title_canon_sha256": "a000b56ebbd243b7861bf0b8bd2f840431210dcdc5a73fa0958c9d0e7c46d894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1879",
    "kind": "arxiv",
    "version": 3
  }
}