Pith Number

pith:JSV5T3MM

pith:2017:JSV5T3MMMTMXXJEZPIUEEZ6PWC

not attested not anchored not stored refs pending

Multiplicativity of the double ramification cycle

Aaron Pixton, David Holmes, Johannes Schmitt

arxiv:1711.10341 v1 · 2017-11-28 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSV5T3MMMTMXXJEZPIUEEZ6PWC}

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	2026-05-18T00:29:22.476060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cabd9ed8c64d97ba4997a284267cfb093a13245290013d6378e5856c1d43b08

Aliases

arxiv: 1711.10341 · arxiv_version: 1711.10341v1 · doi: 10.48550/arxiv.1711.10341 · pith_short_12: JSV5T3MMMTMX · pith_short_16: JSV5T3MMMTMXXJEZ · pith_short_8: JSV5T3MM

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/JSV5T3MMMTMXXJEZPIUEEZ6PWC \
  | 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: 4cabd9ed8c64d97ba4997a284267cfb093a13245290013d6378e5856c1d43b08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "218c2fdc8faf8e50e4b58d009c4d4b27d1f83fa9d4b6b39b36d6ae864587cb75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-28T15:23:28Z",
    "title_canon_sha256": "17058a94ac7bb62fedd60f513d1ced7467d545187f0322341aa435fccf3ad509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10341",
    "kind": "arxiv",
    "version": 1
  }
}