Pith Number

pith:F74ERN2R

pith:2011:F74ERN2R6XQA4EH2JIJUHWUTUO

not attested not anchored not stored refs pending

Homogeneous variational problems: a minicourse

D. J. Saunders

arxiv:1108.6004 v1 · 2011-08-30 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F74ERN2R6XQA4EH2JIJUHWUTUO}

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	2026-05-18T04:14:28.045300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff848b751f5e00e10fa4a1343da93a3b5e1c6ea23c77cb6387edecb7e325046

Aliases

arxiv: 1108.6004 · arxiv_version: 1108.6004v1 · doi: 10.48550/arxiv.1108.6004 · pith_short_12: F74ERN2R6XQA · pith_short_16: F74ERN2R6XQA4EH2 · pith_short_8: F74ERN2R

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/F74ERN2R6XQA4EH2JIJUHWUTUO \
  | 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: 2ff848b751f5e00e10fa4a1343da93a3b5e1c6ea23c77cb6387edecb7e325046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120ecc6cdd9d421625f2ca21f91cc4eac8ed3190e6fa2750ec75d504100efbb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-30T16:37:25Z",
    "title_canon_sha256": "d91c9d1d49d88b019da95ae7e4d2f36d49dd5035a53fbd95e7d172ccc15eb715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6004",
    "kind": "arxiv",
    "version": 1
  }
}