Pith Number

pith:ZKGLPZQ7

pith:2017:ZKGLPZQ7EJXFQ6IGSFCVNYFBZC

not attested not anchored not stored refs pending

Deligne-Riemann-Roch Theorems I. Uniqueness of Deligne Pairings and Degree $1$ Part of Deligne-Riemann-Roch Isomorphisms

Mingchen Xia

arxiv:1710.09731 v3 · 2017-10-26 · 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{ZKGLPZQ7EJXFQ6IGSFCVNYFBZC}

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	2026-05-18T00:25:33.656541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca8cb7e61f226e587906914556e0a1c8965952f622fab16776febfd23ef85c4a

Aliases

arxiv: 1710.09731 · arxiv_version: 1710.09731v3 · doi: 10.48550/arxiv.1710.09731 · pith_short_12: ZKGLPZQ7EJXF · pith_short_16: ZKGLPZQ7EJXFQ6IG · pith_short_8: ZKGLPZQ7

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/ZKGLPZQ7EJXFQ6IGSFCVNYFBZC \
  | 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: ca8cb7e61f226e587906914556e0a1c8965952f622fab16776febfd23ef85c4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aebb36ec2197d1eb1647613cd4e758fa8142900f16b4b8705cc5e020abc5e1dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-26T14:36:45Z",
    "title_canon_sha256": "749582a33d01953c9c72994849f4b4e43c2566eef595ec3ac8f4c0b151d0636d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09731",
    "kind": "arxiv",
    "version": 3
  }
}