Pith Number

pith:DIDNME77

pith:2015:DIDNME77ZJGIJ5KNQQB7OWNGPU

not attested not anchored not stored refs pending

Extremal functions of boundary Schwarz lemma

Guangbin Ren, Xieping Wang

arxiv:1502.02369 v1 · 2015-02-09 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIDNME77ZJGIJ5KNQQB7OWNGPU}

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	2026-05-18T02:27:42.703661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a06d613ffca4c84f54d8403f759a67d32057815b3d7ad327547eba35b52c3f3

Aliases

arxiv: 1502.02369 · arxiv_version: 1502.02369v1 · doi: 10.48550/arxiv.1502.02369 · pith_short_12: DIDNME77ZJGI · pith_short_16: DIDNME77ZJGIJ5KN · pith_short_8: DIDNME77

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/DIDNME77ZJGIJ5KNQQB7OWNGPU \
  | 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: 1a06d613ffca4c84f54d8403f759a67d32057815b3d7ad327547eba35b52c3f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860f6412ad1f0b4cbba99f19eaa17ace83fdcd47c746b0b50c0c127ad656c498",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-02-09T05:34:57Z",
    "title_canon_sha256": "69155ceaddd575eafa327154f684fb214dfbf6e552944d773750054f79fad67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02369",
    "kind": "arxiv",
    "version": 1
  }
}