Pith Number

pith:YOJMFIFM

pith:2008:YOJMFIFMLFBSF2IPLTSCQUXOJQ

not attested not anchored not stored refs pending

Singularities of projected immersions revisited

Gabor Lippner

arxiv:0803.4297 v1 · 2008-03-30 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOJMFIFMLFBSF2IPLTSCQUXOJQ}

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	2026-05-18T02:41:51.711486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c392c2a0ac594322e90f5ce42852ee4c1dfc235510d869bcc69d8b921d4abce4

Aliases

arxiv: 0803.4297 · arxiv_version: 0803.4297v1 · doi: 10.48550/arxiv.0803.4297 · pith_short_12: YOJMFIFMLFBS · pith_short_16: YOJMFIFMLFBSF2IP · pith_short_8: YOJMFIFM

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/YOJMFIFMLFBSF2IPLTSCQUXOJQ \
  | 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: c392c2a0ac594322e90f5ce42852ee4c1dfc235510d869bcc69d8b921d4abce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19c323a7d232d73b5def15bf34abdc90af6e20b4999173bbaf67fb480b6cf404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-03-30T00:06:39Z",
    "title_canon_sha256": "4e2a1f8c8baa832c95a4c26b014aa7d8a0cdbeb3b8654e37b8b7fd8ce45d6f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.4297",
    "kind": "arxiv",
    "version": 1
  }
}