Pith Number

pith:ZPAWF7W6

pith:2011:ZPAWF7W6VVMVCBAZEGJROSX6HO

not attested not anchored not stored refs pending

Multitime maximum principle approach of minimal submanifolds and harmonic maps

Constantin Udriste

arxiv:1110.4745 v1 · 2011-10-21 · 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{ZPAWF7W6VVMVCBAZEGJROSX6HO}

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	2026-05-18T04:10:35.120034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc162fedead595104192193174afe3bbb7a8b84a5d9634bb345b3069c7b49a7

Aliases

arxiv: 1110.4745 · arxiv_version: 1110.4745v1 · doi: 10.48550/arxiv.1110.4745 · pith_short_12: ZPAWF7W6VVMV · pith_short_16: ZPAWF7W6VVMVCBAZ · pith_short_8: ZPAWF7W6

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/ZPAWF7W6VVMVCBAZEGJROSX6HO \
  | 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: cbc162fedead595104192193174afe3bbb7a8b84a5d9634bb345b3069c7b49a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3966460dc9dc266b2f124b4364e027d7fb38de9141e7a9ce9fd6c01675c866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-21T10:18:35Z",
    "title_canon_sha256": "99440bf2551a70bd9a7c5269b8a1657195c0eded480cbfafcbcb90a326090d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4745",
    "kind": "arxiv",
    "version": 1
  }
}