Pith Number

pith:KQZQU2WP

pith:2010:KQZQU2WP7M6KWSL4NHFRHTWM77

not attested not anchored not stored refs pending

Exponential convergence for a convexifying equation and a non-autonomous gradient flow for global minimization

Alfred Galichon, Guillaume Carlier

arxiv:1003.1928 v2 · 2010-03-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQZQU2WP7M6KWSL4NHFRHTWM77}

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	2026-05-18T04:24:53.170697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54330a6acffb3cab497c69cb13ceccffeade46c88811e12501a34126d4e047bd

Aliases

arxiv: 1003.1928 · arxiv_version: 1003.1928v2 · doi: 10.48550/arxiv.1003.1928 · pith_short_12: KQZQU2WP7M6K · pith_short_16: KQZQU2WP7M6KWSL4 · pith_short_8: KQZQU2WP

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/KQZQU2WP7M6KWSL4NHFRHTWM77 \
  | 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: 54330a6acffb3cab497c69cb13ceccffeade46c88811e12501a34126d4e047bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9977233a998e928a15a21ac44698e5b0520e2ca97df5adb76567faa394dec6c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-09T16:53:36Z",
    "title_canon_sha256": "76e0eee8df4e062cb0805f362f2d627de1f4a683e2dc56eba84e07dea9177558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1928",
    "kind": "arxiv",
    "version": 2
  }
}