Pith Number

pith:MNGGT4ZX

pith:2011:MNGGT4ZXVXM62KECTBPJACP45Q

not attested not anchored not stored refs pending

A free boundary problem inspired by a conjecture of De Giorgi

Nikola Kamburov

arxiv:1110.2672 v1 · 2011-10-12 · math.AP · 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{MNGGT4ZXVXM62KECTBPJACP45Q}

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	2026-05-18T04:09:45.421459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

634c69f337add9ed2882985e9009fcec2fd236e0aba54464ad6080e1e881e78c

Aliases

arxiv: 1110.2672 · arxiv_version: 1110.2672v1 · doi: 10.48550/arxiv.1110.2672 · pith_short_12: MNGGT4ZXVXM6 · pith_short_16: MNGGT4ZXVXM62KEC · pith_short_8: MNGGT4ZX

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/MNGGT4ZXVXM62KECTBPJACP45Q \
  | 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: 634c69f337add9ed2882985e9009fcec2fd236e0aba54464ad6080e1e881e78c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "712bc26751548d286ef3af30d89337b39cf816cd19dedf66be9d2a595daa404c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-12T14:46:48Z",
    "title_canon_sha256": "e8440e03793b3c3eaf3ebac45d3b2cb6ea32651f90191984805c7c5c22a7d8c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2672",
    "kind": "arxiv",
    "version": 1
  }
}