Pith Number

pith:FDGGKMPZ

pith:2014:FDGGKMPZVBGXCCXT2TRJU6QFYP

not attested not anchored not stored refs pending

Vertical flows and a general currential homotopy formula

Daniel Cibotaru

arxiv:1405.0952 v1 · 2014-05-05 · 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{FDGGKMPZVBGXCCXT2TRJU6QFYP}

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	2026-05-18T02:52:40.357135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28cc6531f9a84d710af3d4e29a7a05c3dacfb8842da09c4eb27868cd8282ae92

Aliases

arxiv: 1405.0952 · arxiv_version: 1405.0952v1 · doi: 10.48550/arxiv.1405.0952 · pith_short_12: FDGGKMPZVBGX · pith_short_16: FDGGKMPZVBGXCCXT · pith_short_8: FDGGKMPZ

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/FDGGKMPZVBGXCCXT2TRJU6QFYP \
  | 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: 28cc6531f9a84d710af3d4e29a7a05c3dacfb8842da09c4eb27868cd8282ae92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e25a6e4b52bf5c6cee24d3db323876b8e40d72e99b04f6735e39d3b3a999b677",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-05T16:35:12Z",
    "title_canon_sha256": "a2d85c439f58ca4e924c3fdddb364e9850ba61ab194cf0df1328c1b5d2bb3c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0952",
    "kind": "arxiv",
    "version": 1
  }
}