Pith Number

pith:ELTQGU7R

pith:2012:ELTQGU7RMH6RMECQQYIN3UWRSX

not attested not anchored not stored refs pending

Quantum differential systems and some applications to mirror symmetry

Antoine Douai

arxiv:1203.5920 v4 · 2012-03-27 · 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{ELTQGU7RMH6RMECQQYIN3UWRSX}

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	2026-05-18T02:28:12.348785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e70353f161fd1610508610ddd2d195f75527a9b58cf900da075fb4e9a0aa38

Aliases

arxiv: 1203.5920 · arxiv_version: 1203.5920v4 · doi: 10.48550/arxiv.1203.5920 · pith_short_12: ELTQGU7RMH6R · pith_short_16: ELTQGU7RMH6RMECQ · pith_short_8: ELTQGU7R

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/ELTQGU7RMH6RMECQQYIN3UWRSX \
  | 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: 22e70353f161fd1610508610ddd2d195f75527a9b58cf900da075fb4e9a0aa38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ae46a16127502fdf6cc401d81ccc2889b72cf45cc9c76fcf0e408825be6655a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-27T10:35:54Z",
    "title_canon_sha256": "c1edfa91e78954e7236daf3a11a77f8ac6f0f7762f33d84f9ed4f99056980cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5920",
    "kind": "arxiv",
    "version": 4
  }
}