Pith Number

pith:DNTVHZE4

pith:2010:DNTVHZE4U6JEMLGLXL72PQKUEI

not attested not anchored not stored refs pending

Morse Theory for Geodesics in Conical Manifolds

Marco G. Ghimenti

arxiv:1012.5520 v1 · 2010-12-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNTVHZE4U6JEMLGLXL72PQKUEI}

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	2026-05-18T04:32:23.180496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b6753e49ca792462ccbbaffa7c15422227e8ddae3707ead4eb7a3878a7f663b

Aliases

arxiv: 1012.5520 · arxiv_version: 1012.5520v1 · doi: 10.48550/arxiv.1012.5520 · pith_short_12: DNTVHZE4U6JE · pith_short_16: DNTVHZE4U6JEMLGL · pith_short_8: DNTVHZE4

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/DNTVHZE4U6JEMLGLXL72PQKUEI \
  | 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: 1b6753e49ca792462ccbbaffa7c15422227e8ddae3707ead4eb7a3878a7f663b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3aee3abba1d8164adae7dde4829ba5458a0f54f9100387248092da0b08bca6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-26T15:07:34Z",
    "title_canon_sha256": "91c1743da67872dfdc731c011d3cfc90b98a0d310e543467f2685f3119cc355b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5520",
    "kind": "arxiv",
    "version": 1
  }
}