Pith Number

pith:M6DJCXEU

pith:2015:M6DJCXEUXZ2GJ5WMVTEAMOFH46

not attested not anchored not stored refs pending

Pencils of quadrics and Gromov-Witten-Welschinger invariants of $\mathbb C P^3$

Erwan Brugalle, Penka Georgieva

arxiv:1508.02560 v2 · 2015-08-11 · 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{M6DJCXEUXZ2GJ5WMVTEAMOFH46}

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	2026-05-18T01:19:40.707649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6786915c94be7464f6ccacc80638a7e78d6a0051a1d4b9834eac98baf317d195

Aliases

arxiv: 1508.02560 · arxiv_version: 1508.02560v2 · doi: 10.48550/arxiv.1508.02560 · pith_short_12: M6DJCXEUXZ2G · pith_short_16: M6DJCXEUXZ2GJ5WM · pith_short_8: M6DJCXEU

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/M6DJCXEUXZ2GJ5WMVTEAMOFH46 \
  | 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: 6786915c94be7464f6ccacc80638a7e78d6a0051a1d4b9834eac98baf317d195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea7708b3a826b6aa0d48c73c22f4a536f4afc9dbde3be03ff51aa160ec8c360f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-11T11:19:49Z",
    "title_canon_sha256": "ae260893adaf440c72b69ca21051e76b7eb294babe6307e94b463a4f3f09c076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02560",
    "kind": "arxiv",
    "version": 2
  }
}