Pith Number

pith:P4N4GRXU

pith:2015:P4N4GRXUTLMMXP5I7LASWCVUQX

not attested not anchored not stored refs pending

Motivic measures of moduli spaces of 1-dimensional sheaves on rational surfaces

Yao Yuan

arxiv:1509.00143 v1 · 2015-09-01 · 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{P4N4GRXUTLMMXP5I7LASWCVUQX}

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	2026-05-18T01:34:30.488277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f1bc346f49ad8cbbfa8fac12b0ab485c06bdbf332f4c80744a120b7eff59e8c

Aliases

arxiv: 1509.00143 · arxiv_version: 1509.00143v1 · doi: 10.48550/arxiv.1509.00143 · pith_short_12: P4N4GRXUTLMM · pith_short_16: P4N4GRXUTLMMXP5I · pith_short_8: P4N4GRXU

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/P4N4GRXUTLMMXP5I7LASWCVUQX \
  | 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: 7f1bc346f49ad8cbbfa8fac12b0ab485c06bdbf332f4c80744a120b7eff59e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e4480b1bde7ff2a8bf351bbc6d2ccd4be1f112d4891f2e3e9cb01b0ee364365",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-01T05:09:58Z",
    "title_canon_sha256": "0e5a5aeb30165c9ecd06f7a7c55c7d5024472fb300997031205e658f408802b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00143",
    "kind": "arxiv",
    "version": 1
  }
}