Pith Number

pith:5SGH4YHE

pith:2014:5SGH4YHEZ4TOXSJGHIVV2NAF73

not attested not anchored not stored refs pending

A recursion for counts of real curves in CP^{2n-1}: another proof

Aleksey Zinger, Penka Georgieva

arxiv:1401.1750 v2 · 2014-01-08 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SGH4YHEZ4TOXSJGHIVV2NAF73}

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	2026-05-18T01:33:32.756390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec8c7e60e4cf26ebc9263a2b5d3405fecfb2904276539e78a2cb62b2e6e1995c

Aliases

arxiv: 1401.1750 · arxiv_version: 1401.1750v2 · doi: 10.48550/arxiv.1401.1750 · pith_short_12: 5SGH4YHEZ4TO · pith_short_16: 5SGH4YHEZ4TOXSJG · pith_short_8: 5SGH4YHE

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/5SGH4YHEZ4TOXSJGHIVV2NAF73 \
  | 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: ec8c7e60e4cf26ebc9263a2b5d3405fecfb2904276539e78a2cb62b2e6e1995c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10862f4f9c417a0eab96fc5aa3aca360742202dbf960b9542d9d2ff3e9d1f739",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-01-08T17:03:14Z",
    "title_canon_sha256": "8c0ecf87c73d52b5694c743fecd89464007c0c3dfa742257e9d8b3bc0736280d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1750",
    "kind": "arxiv",
    "version": 2
  }
}