Pith Number

pith:Z5EKTM5X

pith:2016:Z5EKTM5XTRJK37ECOKSEL255AN

not attested not anchored not stored refs pending

Boundary crisis for degenerate singular cycles

Alexander Lohse, Alexandre Rodrigues

arxiv:1609.03967 v2 · 2016-09-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5EKTM5XTRJK37ECOKSEL255AN}

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	2026-05-18T00:44:00.121445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf48a9b3b79c52adfc8272a445ebbd034df65772a4c5bed99ce4c6055c3781d8

Aliases

arxiv: 1609.03967 · arxiv_version: 1609.03967v2 · doi: 10.48550/arxiv.1609.03967 · pith_short_12: Z5EKTM5XTRJK · pith_short_16: Z5EKTM5XTRJK37EC · pith_short_8: Z5EKTM5X

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/Z5EKTM5XTRJK37ECOKSEL255AN \
  | 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: cf48a9b3b79c52adfc8272a445ebbd034df65772a4c5bed99ce4c6055c3781d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2736ba89db072d12a639ed8b9088e3b892a85358ec09f76f16351685e72d2d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-13T18:30:24Z",
    "title_canon_sha256": "c720fd494b10884a026c48305f6dd301f60ae5fed86774a40849acf9da5c6bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03967",
    "kind": "arxiv",
    "version": 2
  }
}