Pith Number

pith:BY75SY6T

pith:2011:BY75SY6TOLUSWEEZTVH3SZ55HW

not attested not anchored not stored refs pending

D0-brane realizations of the resolution of a reduced singular curve

Chien-Hao Liu, Shing-Tung Yau

arxiv:1111.4707 v1 · 2011-11-21 · math.AG · hep-th · 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{BY75SY6TOLUSWEEZTVH3SZ55HW}

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	2026-05-18T04:08:02.803947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e3fd963d372e92b10999d4fb967bd3d913694734c46b56fe4142d7a47ad02cf

Aliases

arxiv: 1111.4707 · arxiv_version: 1111.4707v1 · doi: 10.48550/arxiv.1111.4707 · pith_short_12: BY75SY6TOLUS · pith_short_16: BY75SY6TOLUSWEEZ · pith_short_8: BY75SY6T

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/BY75SY6TOLUSWEEZTVH3SZ55HW \
  | 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: 0e3fd963d372e92b10999d4fb967bd3d913694734c46b56fe4142d7a47ad02cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cfeb17c41bed58c92d210d0a034d373752afe1ae23709c7a7215ba5c6b38554",
    "cross_cats_sorted": [
      "hep-th",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-21T00:33:16Z",
    "title_canon_sha256": "7ee46e7c4668417b24e159b7cfc0eab1b97bfcd08e7735f2496566e44867d99a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4707",
    "kind": "arxiv",
    "version": 1
  }
}