Pith Number

pith:7PEYIOIG

pith:2019:7PEYIOIGWC2YCVBSKW2XTHWEXL

not attested not anchored not stored refs pending

From harmonic mappings to Ricci flow due to the Bochner technique

Irina Aleksandrova, Irina Tsyganok, Sergey Stepanov

arxiv:1906.07166 v1 · 2019-06-15 · 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{7PEYIOIGWC2YCVBSKW2XTHWEXL}

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	2026-05-17T23:43:08.633921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc9843906b0b581543255b5799ec4bacfc7b03beb81a779129ce776332babd3

Aliases

arxiv: 1906.07166 · arxiv_version: 1906.07166v1 · doi: 10.48550/arxiv.1906.07166 · pith_short_12: 7PEYIOIGWC2Y · pith_short_16: 7PEYIOIGWC2YCVBS · pith_short_8: 7PEYIOIG

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/7PEYIOIGWC2YCVBSKW2XTHWEXL \
  | 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: fbc9843906b0b581543255b5799ec4bacfc7b03beb81a779129ce776332babd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd71ef2fffbf5b94f2be2275ecc7799445002a2ffd7e2a1d79a066769909543",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-15T10:43:15Z",
    "title_canon_sha256": "39105f4fa6c47d136913b2c76cb52d98c6683ce5ad4d245fa1323ed04f76dc49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07166",
    "kind": "arxiv",
    "version": 1
  }
}